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Finding the Fourth Proportional to 168.18, 252.36 and 120.48

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Solution

The fourth proportional to 168.18, 252.36 and 120.48 is: 180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.18 : 252.36 = 120.48 : x
  2. Step 2: Convert to fraction form
    168.18/252.36 = 120.48/x
  3. Step 3: Cross multiply
    168.18x = 252.36 × 120.48
  4. Step 4: Simplify right side
    168.18x = 30,404.33
  5. Step 5: Solve for x
    x = 30,404.33/168.18
  6. Step 6: Final answer
    x = 180.78

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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.