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Finding the Fourth Proportional to 232.92, 349.49 and 96.06

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Solution

The fourth proportional to 232.92, 349.49 and 96.06 is: 144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 349.49 = 96.06 : x
  2. Step 2: Convert to fraction form
    232.92/349.49 = 96.06/x
  3. Step 3: Cross multiply
    232.92x = 349.49 × 96.06
  4. Step 4: Simplify right side
    232.92x = 33,571.53
  5. Step 5: Solve for x
    x = 33,571.53/232.92
  6. Step 6: Final answer
    x = 144.13

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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.