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Finding the Fourth Proportional to 166.57, 249.98 and 75.22

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Solution

The fourth proportional to 166.57, 249.98 and 75.22 is: 112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.57 : 249.98 = 75.22 : x
  2. Step 2: Convert to fraction form
    166.57/249.98 = 75.22/x
  3. Step 3: Cross multiply
    166.57x = 249.98 × 75.22
  4. Step 4: Simplify right side
    166.57x = 18,802.49
  5. Step 5: Solve for x
    x = 18,802.49/166.57
  6. Step 6: Final answer
    x = 112.88

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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.