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Finding the Fourth Proportional to 205.97, 309.07 and 109.78

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Solution

The fourth proportional to 205.97, 309.07 and 109.78 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 309.07 = 109.78 : x
  2. Step 2: Convert to fraction form
    205.97/309.07 = 109.78/x
  3. Step 3: Cross multiply
    205.97x = 309.07 × 109.78
  4. Step 4: Simplify right side
    205.97x = 33,929.70
  5. Step 5: Solve for x
    x = 33,929.70/205.97
  6. Step 6: Final answer
    x = 164.73

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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.