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Finding the Fourth Proportional to 269.12, 371.16 and 165.44

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Solution

The fourth proportional to 269.12, 371.16 and 165.44 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 371.16 = 165.44 : x
  2. Step 2: Convert to fraction form
    269.12/371.16 = 165.44/x
  3. Step 3: Cross multiply
    269.12x = 371.16 × 165.44
  4. Step 4: Simplify right side
    269.12x = 61,404.71
  5. Step 5: Solve for x
    x = 61,404.71/269.12
  6. Step 6: Final answer
    x = 228.17

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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.