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Finding the Fourth Proportional to 168.35, 251.24 and 150.13

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Solution

The fourth proportional to 168.35, 251.24 and 150.13 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.35 : 251.24 = 150.13 : x
  2. Step 2: Convert to fraction form
    168.35/251.24 = 150.13/x
  3. Step 3: Cross multiply
    168.35x = 251.24 × 150.13
  4. Step 4: Simplify right side
    168.35x = 37,718.41
  5. Step 5: Solve for x
    x = 37,718.41/168.35
  6. Step 6: Final answer
    x = 224.04

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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.