, the grammar point indicating that something is being done ‘in the way of (A)’, というふうに
uses the same suffix of 風（ふう） ‘wind’, ‘air’, to express that something is being done ‘as if to say (A)’, ‘as if to suggest (A)’, or ‘in such a way that (A)’.
As this construction is just a combination of という ‘to say’, and ふうに ‘in a manner’, the literal meaning of this expression is similar to ‘in a way that would say that (A)’. This simply highlights the speaker's uncertainty about what the actual situation is, and that they are only commenting on appearances.
というふうに may be seen directly after verbs, or after nouns expressing the way in which something is being done. The (B) portion of these phrases will then indicate exactly what is being done ‘in a way as if to say (A)’.
I heard something as if to suggest that she is going to go home during lunch break.
Suzuki-san studied as if to suggest that his life depended on this exam.
Until recently, I always thought in such a way as to suggest that I was the most capable person when it comes to work.
We decided to develop the application by dividing the roles in the following way: he would do the design and I would do the programming.
Caution - Because という often quotes the entire statement before it, it will be important to remember this when figuring out exactly what というふうに is emphasizing.