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Finding the Fourth Proportional to 168.02, 252.10 and 137.78

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Solution

The fourth proportional to 168.02, 252.10 and 137.78 is: 206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 252.10 = 137.78 : x
  2. Step 2: Convert to fraction form
    168.02/252.10 = 137.78/x
  3. Step 3: Cross multiply
    168.02x = 252.10 × 137.78
  4. Step 4: Simplify right side
    168.02x = 34,734.34
  5. Step 5: Solve for x
    x = 34,734.34/168.02
  6. Step 6: Final answer
    x = 206.73

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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.