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Finding the Fourth Proportional to 205.52, 308.40 and 83.79

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Solution

The fourth proportional to 205.52, 308.40 and 83.79 is: 125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 308.40 = 83.79 : x
  2. Step 2: Convert to fraction form
    205.52/308.40 = 83.79/x
  3. Step 3: Cross multiply
    205.52x = 308.40 × 83.79
  4. Step 4: Simplify right side
    205.52x = 25,840.84
  5. Step 5: Solve for x
    x = 25,840.84/205.52
  6. Step 6: Final answer
    x = 125.73

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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.