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Finding the Fourth Proportional to 269.26, 371.50 and 164.32

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Solution

The fourth proportional to 269.26, 371.50 and 164.32 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.26 : 371.50 = 164.32 : x
  2. Step 2: Convert to fraction form
    269.26/371.50 = 164.32/x
  3. Step 3: Cross multiply
    269.26x = 371.50 × 164.32
  4. Step 4: Simplify right side
    269.26x = 61,044.88
  5. Step 5: Solve for x
    x = 61,044.88/269.26
  6. Step 6: Final answer
    x = 226.71

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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.