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Finding the Fourth Proportional to 232.97, 321.47 and 139.71

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Solution

The fourth proportional to 232.97, 321.47 and 139.71 is: 192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.97 : 321.47 = 139.71 : x
  2. Step 2: Convert to fraction form
    232.97/321.47 = 139.71/x
  3. Step 3: Cross multiply
    232.97x = 321.47 × 139.71
  4. Step 4: Simplify right side
    232.97x = 44,911.88
  5. Step 5: Solve for x
    x = 44,911.88/232.97
  6. Step 6: Final answer
    x = 192.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.