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Finding the Fourth Proportional to 169.26, 252.84 and 144.96

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Solution

The fourth proportional to 169.26, 252.84 and 144.96 is: 216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.26 : 252.84 = 144.96 : x
  2. Step 2: Convert to fraction form
    169.26/252.84 = 144.96/x
  3. Step 3: Cross multiply
    169.26x = 252.84 × 144.96
  4. Step 4: Simplify right side
    169.26x = 36,651.69
  5. Step 5: Solve for x
    x = 36,651.69/169.26
  6. Step 6: Final answer
    x = 216.54

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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.