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Finding the Fourth Proportional to 232.92, 321.33 and 159.42

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Solution

The fourth proportional to 232.92, 321.33 and 159.42 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 321.33 = 159.42 : x
  2. Step 2: Convert to fraction form
    232.92/321.33 = 159.42/x
  3. Step 3: Cross multiply
    232.92x = 321.33 × 159.42
  4. Step 4: Simplify right side
    232.92x = 51,226.43
  5. Step 5: Solve for x
    x = 51,226.43/232.92
  6. Step 6: Final answer
    x = 219.93

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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.