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Finding the Fourth Proportional to 232.57, 321.22 and 195.36

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Solution

The fourth proportional to 232.57, 321.22 and 195.36 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.57 : 321.22 = 195.36 : x
  2. Step 2: Convert to fraction form
    232.57/321.22 = 195.36/x
  3. Step 3: Cross multiply
    232.57x = 321.22 × 195.36
  4. Step 4: Simplify right side
    232.57x = 62,753.29
  5. Step 5: Solve for x
    x = 62,753.29/232.57
  6. Step 6: Final answer
    x = 269.82

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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.