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Finding the Fourth Proportional to 150.74, 224.60 and 134.57

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Solution

The fourth proportional to 150.74, 224.60 and 134.57 is: 200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 224.60 = 134.57 : x
  2. Step 2: Convert to fraction form
    150.74/224.60 = 134.57/x
  3. Step 3: Cross multiply
    150.74x = 224.60 × 134.57
  4. Step 4: Simplify right side
    150.74x = 30,224.42
  5. Step 5: Solve for x
    x = 30,224.42/150.74
  6. Step 6: Final answer
    x = 200.51

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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.