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Finding the Fourth Proportional to 150.27, 224.25 and 132.96

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Solution

The fourth proportional to 150.27, 224.25 and 132.96 is: 198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.27 : 224.25 = 132.96 : x
  2. Step 2: Convert to fraction form
    150.27/224.25 = 132.96/x
  3. Step 3: Cross multiply
    150.27x = 224.25 × 132.96
  4. Step 4: Simplify right side
    150.27x = 29,816.11
  5. Step 5: Solve for x
    x = 29,816.11/150.27
  6. Step 6: Final answer
    x = 198.41

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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.