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Finding the Fourth Proportional to 168.38, 251.49 and 137.60

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Solution

The fourth proportional to 168.38, 251.49 and 137.60 is: 205.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.38 : 251.49 = 137.60 : x
  2. Step 2: Convert to fraction form
    168.38/251.49 = 137.60/x
  3. Step 3: Cross multiply
    168.38x = 251.49 × 137.60
  4. Step 4: Simplify right side
    168.38x = 34,605.65
  5. Step 5: Solve for x
    x = 34,605.65/168.38
  6. Step 6: Final answer
    x = 205.52

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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.