The problem is to solve the proportion $\frac{1.2}{m} = \frac{0.04}{8}$ for the variable $m$.

1. Problem Description

The problem is to solve the proportion $\frac{1.2}{m} = \frac{0.04}{8}$ for the variable $m$.

2. Solution Steps

To solve the proportion $\frac{1.2}{m} = \frac{0.04}{8}$, we can cross-multiply.

$$1.2 \cdot 8 = 0.04 \cdot m$$

$$9.6 = 0.04m$$

Now, we can divide both sides of the equation by $0.04$ to isolate $m$:

$$m = \frac{9.6}{0.04}$$

To divide by $0.04$, we can multiply both the numerator and denominator by $100$:

$$m = \frac{9.6 \cdot 100}{0.04 \cdot 100} = \frac{960}{4}$$

Now, we perform the division:

$$m = \frac{960}{4} = 240$$

3. Final Answer

The final answer is 240.