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Finding the Fourth Proportional to 168.08, 250.82 and 149.90

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Solution

The fourth proportional to 168.08, 250.82 and 149.90 is: 223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.08 : 250.82 = 149.90 : x
  2. Step 2: Convert to fraction form
    168.08/250.82 = 149.90/x
  3. Step 3: Cross multiply
    168.08x = 250.82 × 149.90
  4. Step 4: Simplify right side
    168.08x = 37,597.92
  5. Step 5: Solve for x
    x = 37,597.92/168.08
  6. Step 6: Final answer
    x = 223.69

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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.