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Finding the Fourth Proportional to 269.16, 371.43 and 164.23

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Solution

The fourth proportional to 269.16, 371.43 and 164.23 is: 226.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.16 : 371.43 = 164.23 : x
  2. Step 2: Convert to fraction form
    269.16/371.43 = 164.23/x
  3. Step 3: Cross multiply
    269.16x = 371.43 × 164.23
  4. Step 4: Simplify right side
    269.16x = 60,999.95
  5. Step 5: Solve for x
    x = 60,999.95/269.16
  6. Step 6: Final answer
    x = 226.63

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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.