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Finding the Fourth Proportional to 232.92, 321.48 and 194.04

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Solution

The fourth proportional to 232.92, 321.48 and 194.04 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.92 : 321.48 = 194.04 : x
  2. Step 2: Convert to fraction form
    232.92/321.48 = 194.04/x
  3. Step 3: Cross multiply
    232.92x = 321.48 × 194.04
  4. Step 4: Simplify right side
    232.92x = 62,379.98
  5. Step 5: Solve for x
    x = 62,379.98/232.92
  6. Step 6: Final answer
    x = 267.82

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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.