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Finding the Fourth Proportional to 205.42, 308.02 and 81.92

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Solution

The fourth proportional to 205.42, 308.02 and 81.92 is: 122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.42 : 308.02 = 81.92 : x
  2. Step 2: Convert to fraction form
    205.42/308.02 = 81.92/x
  3. Step 3: Cross multiply
    205.42x = 308.02 × 81.92
  4. Step 4: Simplify right side
    205.42x = 25,233.00
  5. Step 5: Solve for x
    x = 25,233.00/205.42
  6. Step 6: Final answer
    x = 122.84

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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.