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Finding the Fourth Proportional to 269.12, 371.24 and 164.18

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Solution

The fourth proportional to 269.12, 371.24 and 164.18 is: 226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 371.24 = 164.18 : x
  2. Step 2: Convert to fraction form
    269.12/371.24 = 164.18/x
  3. Step 3: Cross multiply
    269.12x = 371.24 × 164.18
  4. Step 4: Simplify right side
    269.12x = 60,950.18
  5. Step 5: Solve for x
    x = 60,950.18/269.12
  6. Step 6: Final answer
    x = 226.48

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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.