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Finding the Fourth Proportional to 168.65, 252.92 and 149.41

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Solution

The fourth proportional to 168.65, 252.92 and 149.41 is: 224.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.65 : 252.92 = 149.41 : x
  2. Step 2: Convert to fraction form
    168.65/252.92 = 149.41/x
  3. Step 3: Cross multiply
    168.65x = 252.92 × 149.41
  4. Step 4: Simplify right side
    168.65x = 37,789.47
  5. Step 5: Solve for x
    x = 37,789.47/168.65
  6. Step 6: Final answer
    x = 224.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.