предложенных

предложенных

"Proposed" or "offered."

In this sentence, 'предложенных' functions as a modifier (participle) of 'вариантов', indicating that the options being referred to are those that were proposed.

Я выбрал один из предложенных вариантов.

I chose one of the proposed options.

Here, 'предложенных' modifies 'идей', specifying that the ideas in question are those that were proposed.

Среди предложенных идей были весьма интересные.

Among the proposed ideas, there were some quite interesting ones.

In this example, 'предложенных' describes 'изменений', meaning the changes being discussed are those that were suggested or offered.

Участники согласились с большинством предложенных изменений.

The participants agreed with most of the proposed changes.