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Finding the Fourth Proportional to 269.66, 371.76 and 196.04

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Solution

The fourth proportional to 269.66, 371.76 and 196.04 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.66 : 371.76 = 196.04 : x
  2. Step 2: Convert to fraction form
    269.66/371.76 = 196.04/x
  3. Step 3: Cross multiply
    269.66x = 371.76 × 196.04
  4. Step 4: Simplify right side
    269.66x = 72,879.83
  5. Step 5: Solve for x
    x = 72,879.83/269.66
  6. Step 6: Final answer
    x = 270.27

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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.