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Finding the Fourth Proportional to 205.97, 308.96 and 77.72

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Solution

The fourth proportional to 205.97, 308.96 and 77.72 is: 116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.97 : 308.96 = 77.72 : x
  2. Step 2: Convert to fraction form
    205.97/308.96 = 77.72/x
  3. Step 3: Cross multiply
    205.97x = 308.96 × 77.72
  4. Step 4: Simplify right side
    205.97x = 24,011.60
  5. Step 5: Solve for x
    x = 24,011.60/205.97
  6. Step 6: Final answer
    x = 116.58

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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.