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Finding the Fourth Proportional to 269.11, 371.21 and 186.22

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Solution

The fourth proportional to 269.11, 371.21 and 186.22 is: 256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 371.21 = 186.22 : x
  2. Step 2: Convert to fraction form
    269.11/371.21 = 186.22/x
  3. Step 3: Cross multiply
    269.11x = 371.21 × 186.22
  4. Step 4: Simplify right side
    269.11x = 69,126.73
  5. Step 5: Solve for x
    x = 69,126.73/269.11
  6. Step 6: Final answer
    x = 256.87

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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.