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Finding the Fourth Proportional to 232.71, 320.90 and 156.85

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Solution

The fourth proportional to 232.71, 320.90 and 156.85 is: 216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.71 : 320.90 = 156.85 : x
  2. Step 2: Convert to fraction form
    232.71/320.90 = 156.85/x
  3. Step 3: Cross multiply
    232.71x = 320.90 × 156.85
  4. Step 4: Simplify right side
    232.71x = 50,333.17
  5. Step 5: Solve for x
    x = 50,333.17/232.71
  6. Step 6: Final answer
    x = 216.29

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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.