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Finding the Fourth Proportional to 205.85, 308.70 and 137.73

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Solution

The fourth proportional to 205.85, 308.70 and 137.73 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.85 : 308.70 = 137.73 : x
  2. Step 2: Convert to fraction form
    205.85/308.70 = 137.73/x
  3. Step 3: Cross multiply
    205.85x = 308.70 × 137.73
  4. Step 4: Simplify right side
    205.85x = 42,517.25
  5. Step 5: Solve for x
    x = 42,517.25/205.85
  6. Step 6: Final answer
    x = 206.54

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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.