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Finding the Fourth Proportional to 168.48, 252.72 and 144.18

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Solution

The fourth proportional to 168.48, 252.72 and 144.18 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.48 : 252.72 = 144.18 : x
  2. Step 2: Convert to fraction form
    168.48/252.72 = 144.18/x
  3. Step 3: Cross multiply
    168.48x = 252.72 × 144.18
  4. Step 4: Simplify right side
    168.48x = 36,437.17
  5. Step 5: Solve for x
    x = 36,437.17/168.48
  6. Step 6: Final answer
    x = 216.27

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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.