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Finding the Fourth Proportional to 205.75, 308.42 and 97.61

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Solution

The fourth proportional to 205.75, 308.42 and 97.61 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 308.42 = 97.61 : x
  2. Step 2: Convert to fraction form
    205.75/308.42 = 97.61/x
  3. Step 3: Cross multiply
    205.75x = 308.42 × 97.61
  4. Step 4: Simplify right side
    205.75x = 30,104.39
  5. Step 5: Solve for x
    x = 30,104.39/205.75
  6. Step 6: Final answer
    x = 146.32

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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.