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Finding the Fourth Proportional to 232.73, 321.33 and 159.02

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Solution

The fourth proportional to 232.73, 321.33 and 159.02 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.73 : 321.33 = 159.02 : x
  2. Step 2: Convert to fraction form
    232.73/321.33 = 159.02/x
  3. Step 3: Cross multiply
    232.73x = 321.33 × 159.02
  4. Step 4: Simplify right side
    232.73x = 51,097.90
  5. Step 5: Solve for x
    x = 51,097.90/232.73
  6. Step 6: Final answer
    x = 219.56

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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.