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Finding the Fourth Proportional to 269.11, 371.28 and 164.17

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Solution

The fourth proportional to 269.11, 371.28 and 164.17 is: 226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.11 : 371.28 = 164.17 : x
  2. Step 2: Convert to fraction form
    269.11/371.28 = 164.17/x
  3. Step 3: Cross multiply
    269.11x = 371.28 × 164.17
  4. Step 4: Simplify right side
    269.11x = 60,953.04
  5. Step 5: Solve for x
    x = 60,953.04/269.11
  6. Step 6: Final answer
    x = 226.50

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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.