To solve the equation \( 178.56 = m - 76.9 \) using inverse operations, we first need to isolate \( m \). We can do this by adding \( 76.9 \) to both sides of the equation:
\[ 178.56 + 76.9 = m \]
Now, we will perform the addition:
\[ 178.56 + 76.9 = 255.46 \]
Thus, we have:
\[ m = 255.46 \]
The correct response is:
255.46 = m.