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Finding the Fourth Proportional to 168.28, 252.50 and 96.19

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Solution

The fourth proportional to 168.28, 252.50 and 96.19 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.28 : 252.50 = 96.19 : x
  2. Step 2: Convert to fraction form
    168.28/252.50 = 96.19/x
  3. Step 3: Cross multiply
    168.28x = 252.50 × 96.19
  4. Step 4: Simplify right side
    168.28x = 24,287.98
  5. Step 5: Solve for x
    x = 24,287.98/168.28
  6. Step 6: Final answer
    x = 144.33

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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.