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Finding the Fourth Proportional to 232.62, 320.90 and 139.34

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Solution

The fourth proportional to 232.62, 320.90 and 139.34 is: 192.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.62 : 320.90 = 139.34 : x
  2. Step 2: Convert to fraction form
    232.62/320.90 = 139.34/x
  3. Step 3: Cross multiply
    232.62x = 320.90 × 139.34
  4. Step 4: Simplify right side
    232.62x = 44,711.90
  5. Step 5: Solve for x
    x = 44,711.90/232.62
  6. Step 6: Final answer
    x = 192.21

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