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Finding the Fourth Proportional to 205.92, 308.96 and 97.73

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Solution

The fourth proportional to 205.92, 308.96 and 97.73 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 308.96 = 97.73 : x
  2. Step 2: Convert to fraction form
    205.92/308.96 = 97.73/x
  3. Step 3: Cross multiply
    205.92x = 308.96 × 97.73
  4. Step 4: Simplify right side
    205.92x = 30,192.63
  5. Step 5: Solve for x
    x = 30,192.63/205.92
  6. Step 6: Final answer
    x = 146.62

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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.