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Finding the Fourth Proportional to 205.80, 308.70 and 82.41

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Solution

The fourth proportional to 205.80, 308.70 and 82.41 is: 123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.80 : 308.70 = 82.41 : x
  2. Step 2: Convert to fraction form
    205.80/308.70 = 82.41/x
  3. Step 3: Cross multiply
    205.80x = 308.70 × 82.41
  4. Step 4: Simplify right side
    205.80x = 25,439.27
  5. Step 5: Solve for x
    x = 25,439.27/205.80
  6. Step 6: Final answer
    x = 123.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.