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Finding the Fourth Proportional to 269.26, 371.56 and 152.82

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Solution

The fourth proportional to 269.26, 371.56 and 152.82 is: 210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 371.56 = 152.82 : x
  2. Step 2: Convert to fraction form
    269.26/371.56 = 152.82/x
  3. Step 3: Cross multiply
    269.26x = 371.56 × 152.82
  4. Step 4: Simplify right side
    269.26x = 56,781.80
  5. Step 5: Solve for x
    x = 56,781.80/269.26
  6. Step 6: Final answer
    x = 210.88

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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.