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Finding the Fourth Proportional to 205.42, 308.22 and 83.78

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Solution

The fourth proportional to 205.42, 308.22 and 83.78 is: 125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 308.22 = 83.78 : x
  2. Step 2: Convert to fraction form
    205.42/308.22 = 83.78/x
  3. Step 3: Cross multiply
    205.42x = 308.22 × 83.78
  4. Step 4: Simplify right side
    205.42x = 25,822.67
  5. Step 5: Solve for x
    x = 25,822.67/205.42
  6. Step 6: Final answer
    x = 125.71

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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.