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Finding the Fourth Proportional to 269.08, 371.34 and 164.20

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Solution

The fourth proportional to 269.08, 371.34 and 164.20 is: 226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.08 : 371.34 = 164.20 : x
  2. Step 2: Convert to fraction form
    269.08/371.34 = 164.20/x
  3. Step 3: Cross multiply
    269.08x = 371.34 × 164.20
  4. Step 4: Simplify right side
    269.08x = 60,974.03
  5. Step 5: Solve for x
    x = 60,974.03/269.08
  6. Step 6: Final answer
    x = 226.60

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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.