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Finding the Fourth Proportional to 168.40, 252.77 and 149.26

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Solution

The fourth proportional to 168.40, 252.77 and 149.26 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 252.77 = 149.26 : x
  2. Step 2: Convert to fraction form
    168.40/252.77 = 149.26/x
  3. Step 3: Cross multiply
    168.40x = 252.77 × 149.26
  4. Step 4: Simplify right side
    168.40x = 37,728.45
  5. Step 5: Solve for x
    x = 37,728.45/168.40
  6. Step 6: Final answer
    x = 224.04

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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.