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Finding the Fourth Proportional to 169.20, 252.84 and 147.24

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Solution

The fourth proportional to 169.20, 252.84 and 147.24 is: 220.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 252.84 = 147.24 : x
  2. Step 2: Convert to fraction form
    169.20/252.84 = 147.24/x
  3. Step 3: Cross multiply
    169.20x = 252.84 × 147.24
  4. Step 4: Simplify right side
    169.20x = 37,228.16
  5. Step 5: Solve for x
    x = 37,228.16/169.20
  6. Step 6: Final answer
    x = 220.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.