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Finding the Fourth Proportional to 205.59, 308.51 and 83.85

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Solution

The fourth proportional to 205.59, 308.51 and 83.85 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 308.51 = 83.85 : x
  2. Step 2: Convert to fraction form
    205.59/308.51 = 83.85/x
  3. Step 3: Cross multiply
    205.59x = 308.51 × 83.85
  4. Step 4: Simplify right side
    205.59x = 25,868.16
  5. Step 5: Solve for x
    x = 25,868.16/205.59
  6. Step 6: Final answer
    x = 125.83

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Why These Related Problems?

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