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Finding the Fourth Proportional to 168.52, 252.64 and 119.76

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Solution

The fourth proportional to 168.52, 252.64 and 119.76 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.52 : 252.64 = 119.76 : x
  2. Step 2: Convert to fraction form
    168.52/252.64 = 119.76/x
  3. Step 3: Cross multiply
    168.52x = 252.64 × 119.76
  4. Step 4: Simplify right side
    168.52x = 30,256.17
  5. Step 5: Solve for x
    x = 30,256.17/168.52
  6. Step 6: Final answer
    x = 179.54

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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.