～ために means "for" or "in order to". ex. 私のために買ってくれた。 服を買うために働いた。 ～手段として means "in order to" (never "for"). But this isn't often used by native Japanese. It is often used in order to translate from English. ～ように means "as". 彼が言ったようにやってみよう。 Let us do as he said.
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