This is a question for fellow Christians in general, from all different backgrounds; What meanings have you heard applied to the Proverbs that state;
Proverbs 16:25 There is a way that seemeth right unto a man, but the end thereof are the ways of death.
and
Proverbs 14:12 There is a way which seemeth right unto a man, but the end thereof are the ways of death.
What is the way which seems right, but ends in death?
To understand what these verses mean you have to put them in context. Below I’ve put the verses you questioned with other verses in the same chapters and meaning becomes clear.
Proverbs 16
19 It is better to be humble with the poor
than to share plunder with the proud.
20 Whoever ponders a matter will be successful;
happy the one who trusts in the LORD!
21 The wise of heart is esteemed for discernment,
and pleasing speech gains a reputation for learning.
22 Good sense is a fountain of life to those who have it,
but folly is the training of fools.
23 The heart of the wise makes for eloquent speech,
and increases the learning on their lips.
24 Pleasing words are a honeycomb,
sweet to the taste and invigorating to the bones.
**25 Sometimes a way seems right,
but the end of it leads to death!
**
26 The appetite of workers works for them,
for their mouths urge them on.
27 Scoundrels are a furnace of evil,
and their lips are like a scorching fire.
28 Perverse speech sows discord,
and talebearing separates bosom friends.
29 The violent deceive their neighbors,
and lead them into a way that is not good.
Proverbs 14
10 The heart knows its own bitterness,
and its joy no stranger shares.
11 The house of the wicked will be destroyed,
but the tent of the upright will flourish.
**12 Sometimes a way seems right,
but the end of it leads to death!**
13 Even in laughter the heart may be sad,
and the end of joy may be sorrow.
14 From their own ways turncoats are sated,
from their own actions, the loyal.
15 The naive believe everything,
but the shrewd watch their steps.
16 The wise person is cautious and turns from evil;
the fool is reckless and gets embroiled.