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Finding the Fourth Proportional to 169.66, 254.76 and 142.21

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Solution

The fourth proportional to 169.66, 254.76 and 142.21 is: 213.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.66 : 254.76 = 142.21 : x
  2. Step 2: Convert to fraction form
    169.66/254.76 = 142.21/x
  3. Step 3: Cross multiply
    169.66x = 254.76 × 142.21
  4. Step 4: Simplify right side
    169.66x = 36,229.42
  5. Step 5: Solve for x
    x = 36,229.42/169.66
  6. Step 6: Final answer
    x = 213.54

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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.