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Finding the Fourth Proportional to 205.97, 308.75 and 97.65

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Solution

The fourth proportional to 205.97, 308.75 and 97.65 is: 146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 308.75 = 97.65 : x
  2. Step 2: Convert to fraction form
    205.97/308.75 = 97.65/x
  3. Step 3: Cross multiply
    205.97x = 308.75 × 97.65
  4. Step 4: Simplify right side
    205.97x = 30,148.95
  5. Step 5: Solve for x
    x = 30,148.95/205.97
  6. Step 6: Final answer
    x = 146.38

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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.