ふうに details
Examples
in that manner; like this — points at the style or way an action is carried out, usually via a demonstrative
え、それ、こんなふうに使うんだ？
e, sore, konna fuu ni tsukau n da?
Oh, so you use that this way? casual
先生はいつもこんなふうに説明してくれる。
sensei wa itsumo konna fuu ni setsumei shite kureru.
The teacher always explains it to us like this. neutral
本製品はこういうふうに設計されております。
honseihin wa kou iu fuu ni sekkei sarete orimasu.
This product has been designed in this way. formal
Formation
こんな／そんな／あんな／どんな＋ふうに（こんなふうに・どんなふうに）attaches to noun phrase (schematic)
Notes
(に) directly, with no の, is separately productive (和風に, アメリカ
風に, 昔風の家) and is not this entry's frame.
Related patterns
Similar
ような／ように is the general-purpose "like/as" comparison and takes any noun freely (子供のように "like a child"); こんなふうに narrows to the MANNER or style something is done in and almost always leans on a demonstrative or quoted clause — ×りんごのふうに fails where りんごのように works fine.
ように marks a GOAL the subject arranges other things to reach (忘れないように書いておく "write it down so as not to forget"); こんなふうに names the STYLE an action is already carried out in and has no goal reading at all — swap them and "so as to" turns into "in this way."
Both answer "in what way?", but とおりに needs a MODEL already specified to conform to (レシピのとおりに) while ふうに needs a demonstrative or quoted clause and supplies the manner itself — ×レシピのふうに and ×こんなとおりに both fail, so the two are almost never interchangeable in one slot.