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Finding the Fourth Proportional to 269.49, 371.90 and 164.58

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Solution

The fourth proportional to 269.49, 371.90 and 164.58 is: 227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.49 : 371.90 = 164.58 : x
  2. Step 2: Convert to fraction form
    269.49/371.90 = 164.58/x
  3. Step 3: Cross multiply
    269.49x = 371.90 × 164.58
  4. Step 4: Simplify right side
    269.49x = 61,207.30
  5. Step 5: Solve for x
    x = 61,207.30/269.49
  6. Step 6: Final answer
    x = 227.12

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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.