To solve the expression \( 68.16 \div 3.55 + 51.4 \cdot 0.16 - 28.004 \), we will follow the order of operations (PEMDAS/BODMAS):
- Division and Multiplication first, then Addition and Subtraction.
Let's calculate each part step by step:
Division: \[ 68.16 \div 3.55 \approx 19.2186 \]
Multiplication: \[ 51.4 \cdot 0.16 \approx 8.224 \]
Now substitute these values back into the expression:
\[ 19.2186 + 8.224 - 28.004 \]
Addition: \[ 19.2186 + 8.224 \approx 27.4426 \]
Subtraction: \[ 27.4426 - 28.004 \approx -0.5614 \]
So, the final result of the expression \( 68.16 \div 3.55 + 51.4 \cdot 0.16 - 28.004 \) is approximately:
\[ \boxed{-0.5614} \]