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Finding the Fourth Proportional to 232.97, 321.52 and 145.73

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Solution

The fourth proportional to 232.97, 321.52 and 145.73 is: 201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.97 : 321.52 = 145.73 : x
  2. Step 2: Convert to fraction form
    232.97/321.52 = 145.73/x
  3. Step 3: Cross multiply
    232.97x = 321.52 × 145.73
  4. Step 4: Simplify right side
    232.97x = 46,856.10
  5. Step 5: Solve for x
    x = 46,856.10/232.97
  6. Step 6: Final answer
    x = 201.12

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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.