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Finding the Fourth Proportional to 205.52, 308.32 and 83.76

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Solution

The fourth proportional to 205.52, 308.32 and 83.76 is: 125.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 308.32 = 83.76 : x
  2. Step 2: Convert to fraction form
    205.52/308.32 = 83.76/x
  3. Step 3: Cross multiply
    205.52x = 308.32 × 83.76
  4. Step 4: Simplify right side
    205.52x = 25,824.88
  5. Step 5: Solve for x
    x = 25,824.88/205.52
  6. Step 6: Final answer
    x = 125.66

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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.