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Finding the Fourth Proportional to 232.28, 320.57 and 144.96

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Solution

The fourth proportional to 232.28, 320.57 and 144.96 is: 200.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.28 : 320.57 = 144.96 : x
  2. Step 2: Convert to fraction form
    232.28/320.57 = 144.96/x
  3. Step 3: Cross multiply
    232.28x = 320.57 × 144.96
  4. Step 4: Simplify right side
    232.28x = 46,469.83
  5. Step 5: Solve for x
    x = 46,469.83/232.28
  6. Step 6: Final answer
    x = 200.06

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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.