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Finding the Fourth Proportional to 232.71, 321.22 and 159.24

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Solution

The fourth proportional to 232.71, 321.22 and 159.24 is: 219.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.71 : 321.22 = 159.24 : x
  2. Step 2: Convert to fraction form
    232.71/321.22 = 159.24/x
  3. Step 3: Cross multiply
    232.71x = 321.22 × 159.24
  4. Step 4: Simplify right side
    232.71x = 51,150.68
  5. Step 5: Solve for x
    x = 51,150.68/232.71
  6. Step 6: Final answer
    x = 219.80

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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.