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Finding the Fourth Proportional to 232.38, 320.67 and 134.13

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Solution

The fourth proportional to 232.38, 320.67 and 134.13 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 320.67 = 134.13 : x
  2. Step 2: Convert to fraction form
    232.38/320.67 = 134.13/x
  3. Step 3: Cross multiply
    232.38x = 320.67 × 134.13
  4. Step 4: Simplify right side
    232.38x = 43,011.47
  5. Step 5: Solve for x
    x = 43,011.47/232.38
  6. Step 6: Final answer
    x = 185.09

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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.