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Finding the Fourth Proportional to 166.80, 250.20 and 75.42

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Solution

The fourth proportional to 166.80, 250.20 and 75.42 is: 113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 250.20 = 75.42 : x
  2. Step 2: Convert to fraction form
    166.80/250.20 = 75.42/x
  3. Step 3: Cross multiply
    166.80x = 250.20 × 75.42
  4. Step 4: Simplify right side
    166.80x = 18,870.08
  5. Step 5: Solve for x
    x = 18,870.08/166.80
  6. Step 6: Final answer
    x = 113.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.