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Finding the Fourth Proportional to 269.14, 371.46 and 170.86

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Solution

The fourth proportional to 269.14, 371.46 and 170.86 is: 235.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.14 : 371.46 = 170.86 : x
  2. Step 2: Convert to fraction form
    269.14/371.46 = 170.86/x
  3. Step 3: Cross multiply
    269.14x = 371.46 × 170.86
  4. Step 4: Simplify right side
    269.14x = 63,467.66
  5. Step 5: Solve for x
    x = 63,467.66/269.14
  6. Step 6: Final answer
    x = 235.82

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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.