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Finding the Fourth Proportional to 169.12, 232.64 and 147.20

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Solution

The fourth proportional to 169.12, 232.64 and 147.20 is: 202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 232.64 = 147.20 : x
  2. Step 2: Convert to fraction form
    169.12/232.64 = 147.20/x
  3. Step 3: Cross multiply
    169.12x = 232.64 × 147.20
  4. Step 4: Simplify right side
    169.12x = 34,244.61
  5. Step 5: Solve for x
    x = 34,244.61/169.12
  6. Step 6: Final answer
    x = 202.49

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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.