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Finding the Fourth Proportional to 150.56, 224.68 and 135.24

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Solution

The fourth proportional to 150.56, 224.68 and 135.24 is: 201.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 224.68 = 135.24 : x
  2. Step 2: Convert to fraction form
    150.56/224.68 = 135.24/x
  3. Step 3: Cross multiply
    150.56x = 224.68 × 135.24
  4. Step 4: Simplify right side
    150.56x = 30,385.72
  5. Step 5: Solve for x
    x = 30,385.72/150.56
  6. Step 6: Final answer
    x = 201.82

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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.