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Finding the Fourth Proportional to 232.87, 321.32 and 150.05

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Solution

The fourth proportional to 232.87, 321.32 and 150.05 is: 207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.87 : 321.32 = 150.05 : x
  2. Step 2: Convert to fraction form
    232.87/321.32 = 150.05/x
  3. Step 3: Cross multiply
    232.87x = 321.32 × 150.05
  4. Step 4: Simplify right side
    232.87x = 48,214.07
  5. Step 5: Solve for x
    x = 48,214.07/232.87
  6. Step 6: Final answer
    x = 207.04

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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.