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Finding the Fourth Proportional to 150.20, 224.07 and 136.22

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Solution

The fourth proportional to 150.20, 224.07 and 136.22 is: 203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 224.07 = 136.22 : x
  2. Step 2: Convert to fraction form
    150.20/224.07 = 136.22/x
  3. Step 3: Cross multiply
    150.20x = 224.07 × 136.22
  4. Step 4: Simplify right side
    150.20x = 30,523.38
  5. Step 5: Solve for x
    x = 30,523.38/150.20
  6. Step 6: Final answer
    x = 203.22

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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.