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Finding the Fourth Proportional to 269.43, 371.97 and 164.55

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Solution

The fourth proportional to 269.43, 371.97 and 164.55 is: 227.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.43 : 371.97 = 164.55 : x
  2. Step 2: Convert to fraction form
    269.43/371.97 = 164.55/x
  3. Step 3: Cross multiply
    269.43x = 371.97 × 164.55
  4. Step 4: Simplify right side
    269.43x = 61,205.65
  5. Step 5: Solve for x
    x = 61,205.65/269.43
  6. Step 6: Final answer
    x = 227.16

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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.