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Finding the Fourth Proportional to 166.69, 250.12 and 75.38

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Solution

The fourth proportional to 166.69, 250.12 and 75.38 is: 113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.69 : 250.12 = 75.38 : x
  2. Step 2: Convert to fraction form
    166.69/250.12 = 75.38/x
  3. Step 3: Cross multiply
    166.69x = 250.12 × 75.38
  4. Step 4: Simplify right side
    166.69x = 18,853.61
  5. Step 5: Solve for x
    x = 18,853.61/166.69
  6. Step 6: Final answer
    x = 113.11

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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.