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Finding the Fourth Proportional to 269.75, 372.06 and 196.18

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Solution

The fourth proportional to 269.75, 372.06 and 196.18 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.75 : 372.06 = 196.18 : x
  2. Step 2: Convert to fraction form
    269.75/372.06 = 196.18/x
  3. Step 3: Cross multiply
    269.75x = 372.06 × 196.18
  4. Step 4: Simplify right side
    269.75x = 72,989.80
  5. Step 5: Solve for x
    x = 72,989.80/269.75
  6. Step 6: Final answer
    x = 270.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.