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Finding the Fourth Proportional to 232.92, 349.24 and 111.22

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Solution

The fourth proportional to 232.92, 349.24 and 111.22 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 349.24 = 111.22 : x
  2. Step 2: Convert to fraction form
    232.92/349.24 = 111.22/x
  3. Step 3: Cross multiply
    232.92x = 349.24 × 111.22
  4. Step 4: Simplify right side
    232.92x = 38,842.47
  5. Step 5: Solve for x
    x = 38,842.47/232.92
  6. Step 6: Final answer
    x = 166.76

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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.