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Finding the Fourth Proportional to 269.09, 371.24 and 158.52

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Solution

The fourth proportional to 269.09, 371.24 and 158.52 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.09 : 371.24 = 158.52 : x
  2. Step 2: Convert to fraction form
    269.09/371.24 = 158.52/x
  3. Step 3: Cross multiply
    269.09x = 371.24 × 158.52
  4. Step 4: Simplify right side
    269.09x = 58,848.17
  5. Step 5: Solve for x
    x = 58,848.17/269.09
  6. Step 6: Final answer
    x = 218.70

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