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Finding the Fourth Proportional to 168.64, 232.16 and 129.76

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Solution

The fourth proportional to 168.64, 232.16 and 129.76 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.64 : 232.16 = 129.76 : x
  2. Step 2: Convert to fraction form
    168.64/232.16 = 129.76/x
  3. Step 3: Cross multiply
    168.64x = 232.16 × 129.76
  4. Step 4: Simplify right side
    168.64x = 30,125.08
  5. Step 5: Solve for x
    x = 30,125.08/168.64
  6. Step 6: Final answer
    x = 178.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.