We are given the equation:

\[
\frac{250 - 25}{x} = \frac{450 - 6}{150}
\]

### Step 1: Simplify both sides of the equation

1. Simplify the numerators:
   \[
   250 - 25 = 225
   \]
   \[
   450 - 6 = 444
   \]

   So, the equation becomes:
   \[
   \frac{225}{x} = \frac{444}{150}
   \]

### Step 2: Cross-multiply to eliminate the fractions

\[
225 \times 150 = 444 \times x
\]

This simplifies to:
\[
33750 = 444x
\]

### Step 3: Solve for \( x \)

To isolate \( x \), divide both sides by 444:
\[
x = \frac{33750}{444}
\]

Simplifying this:
\[
x = 76.06 \quad (\text{rounded to two decimal places})
\]

So, \( x \approx 76.06 \).

Would you like further details or have any questions? Here are some related questions:

1. What are the steps to cross-multiply equations?
2. How can you simplify algebraic fractions?
3. What is the importance of isolating variables in equations?
4. How do you handle equations with multiple operations?
5. How can you verify your solution is correct?

**Tip**: Always double-check your calculations when working with fractions to avoid small mistakes.

Discover how to solve the algebraic equation (250-25)/x = (450-6)/150 using cross-multiplication. This problem involves simplification and step-by-step application of cross-multiplication, suitable for Grades 8-10 students.

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