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Finding the Fourth Proportional to 168.62, 252.28 and 130.24

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Solution

The fourth proportional to 168.62, 252.28 and 130.24 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.62 : 252.28 = 130.24 : x
  2. Step 2: Convert to fraction form
    168.62/252.28 = 130.24/x
  3. Step 3: Cross multiply
    168.62x = 252.28 × 130.24
  4. Step 4: Simplify right side
    168.62x = 32,855.03
  5. Step 5: Solve for x
    x = 32,855.03/168.62
  6. Step 6: Final answer
    x = 194.85

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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.