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Finding the Fourth Proportional to 232.74, 349.17 and 124.50

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Solution

The fourth proportional to 232.74, 349.17 and 124.50 is: 186.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.74 : 349.17 = 124.50 : x
  2. Step 2: Convert to fraction form
    232.74/349.17 = 124.50/x
  3. Step 3: Cross multiply
    232.74x = 349.17 × 124.50
  4. Step 4: Simplify right side
    232.74x = 43,471.67
  5. Step 5: Solve for x
    x = 43,471.67/232.74
  6. Step 6: Final answer
    x = 186.78

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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.