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Finding the Fourth Proportional to 169.41, 254.19 and 117.87

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Solution

The fourth proportional to 169.41, 254.19 and 117.87 is: 176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.41 : 254.19 = 117.87 : x
  2. Step 2: Convert to fraction form
    169.41/254.19 = 117.87/x
  3. Step 3: Cross multiply
    169.41x = 254.19 × 117.87
  4. Step 4: Simplify right side
    169.41x = 29,961.38
  5. Step 5: Solve for x
    x = 29,961.38/169.41
  6. Step 6: Final answer
    x = 176.86

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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.