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Finding the Fourth Proportional to 166.31, 249.12 and 97.71

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Solution

The fourth proportional to 166.31, 249.12 and 97.71 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.31 : 249.12 = 97.71 : x
  2. Step 2: Convert to fraction form
    166.31/249.12 = 97.71/x
  3. Step 3: Cross multiply
    166.31x = 249.12 × 97.71
  4. Step 4: Simplify right side
    166.31x = 24,341.52
  5. Step 5: Solve for x
    x = 24,341.52/166.31
  6. Step 6: Final answer
    x = 146.36

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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.