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Finding the Fourth Proportional to 232.90, 349.14 and 111.31

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Solution

The fourth proportional to 232.90, 349.14 and 111.31 is: 166.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.90 : 349.14 = 111.31 : x
  2. Step 2: Convert to fraction form
    232.90/349.14 = 111.31/x
  3. Step 3: Cross multiply
    232.90x = 349.14 × 111.31
  4. Step 4: Simplify right side
    232.90x = 38,862.77
  5. Step 5: Solve for x
    x = 38,862.77/232.90
  6. Step 6: Final answer
    x = 166.86

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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.