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Finding the Fourth Proportional to 155.31, 231.87 and 132.24

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Solution

The fourth proportional to 155.31, 231.87 and 132.24 is: 197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.31 : 231.87 = 132.24 : x
  2. Step 2: Convert to fraction form
    155.31/231.87 = 132.24/x
  3. Step 3: Cross multiply
    155.31x = 231.87 × 132.24
  4. Step 4: Simplify right side
    155.31x = 30,662.49
  5. Step 5: Solve for x
    x = 30,662.49/155.31
  6. Step 6: Final answer
    x = 197.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.