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Finding the Fourth Proportional to 269.14, 371.39 and 158.66

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Solution

The fourth proportional to 269.14, 371.39 and 158.66 is: 218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.14 : 371.39 = 158.66 : x
  2. Step 2: Convert to fraction form
    269.14/371.39 = 158.66/x
  3. Step 3: Cross multiply
    269.14x = 371.39 × 158.66
  4. Step 4: Simplify right side
    269.14x = 58,923.48
  5. Step 5: Solve for x
    x = 58,923.48/269.14
  6. Step 6: Final answer
    x = 218.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.