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Finding the Fourth Proportional to 232.92, 349.37 and 101.12

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Solution

The fourth proportional to 232.92, 349.37 and 101.12 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 349.37 = 101.12 : x
  2. Step 2: Convert to fraction form
    232.92/349.37 = 101.12/x
  3. Step 3: Cross multiply
    232.92x = 349.37 × 101.12
  4. Step 4: Simplify right side
    232.92x = 35,327.67
  5. Step 5: Solve for x
    x = 35,327.67/232.92
  6. Step 6: Final answer
    x = 151.68

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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.