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Finding the Fourth Proportional to 205.52, 308.28 and 77.28

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Solution

The fourth proportional to 205.52, 308.28 and 77.28 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.52 : 308.28 = 77.28 : x
  2. Step 2: Convert to fraction form
    205.52/308.28 = 77.28/x
  3. Step 3: Cross multiply
    205.52x = 308.28 × 77.28
  4. Step 4: Simplify right side
    205.52x = 23,823.88
  5. Step 5: Solve for x
    x = 23,823.88/205.52
  6. Step 6: Final answer
    x = 115.92

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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.