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Finding the Fourth Proportional to 232.83, 349.02 and 111.15

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Solution

The fourth proportional to 232.83, 349.02 and 111.15 is: 166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 349.02 = 111.15 : x
  2. Step 2: Convert to fraction form
    232.83/349.02 = 111.15/x
  3. Step 3: Cross multiply
    232.83x = 349.02 × 111.15
  4. Step 4: Simplify right side
    232.83x = 38,793.57
  5. Step 5: Solve for x
    x = 38,793.57/232.83
  6. Step 6: Final answer
    x = 166.62

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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.