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Finding the Fourth Proportional to 169.78, 254.72 and 144.29

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Solution

The fourth proportional to 169.78, 254.72 and 144.29 is: 216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.78 : 254.72 = 144.29 : x
  2. Step 2: Convert to fraction form
    169.78/254.72 = 144.29/x
  3. Step 3: Cross multiply
    169.78x = 254.72 × 144.29
  4. Step 4: Simplify right side
    169.78x = 36,753.55
  5. Step 5: Solve for x
    x = 36,753.55/169.78
  6. Step 6: Final answer
    x = 216.48

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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.