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Finding the Fourth Proportional to 232.55, 320.97 and 149.87

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Solution

The fourth proportional to 232.55, 320.97 and 149.87 is: 206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.55 : 320.97 = 149.87 : x
  2. Step 2: Convert to fraction form
    232.55/320.97 = 149.87/x
  3. Step 3: Cross multiply
    232.55x = 320.97 × 149.87
  4. Step 4: Simplify right side
    232.55x = 48,102.17
  5. Step 5: Solve for x
    x = 48,102.17/232.55
  6. Step 6: Final answer
    x = 206.85

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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.