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Finding the Fourth Proportional to 205.53, 308.27 and 77.25

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Solution

The fourth proportional to 205.53, 308.27 and 77.25 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 308.27 = 77.25 : x
  2. Step 2: Convert to fraction form
    205.53/308.27 = 77.25/x
  3. Step 3: Cross multiply
    205.53x = 308.27 × 77.25
  4. Step 4: Simplify right side
    205.53x = 23,813.47
  5. Step 5: Solve for x
    x = 23,813.47/205.53
  6. Step 6: Final answer
    x = 115.86

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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.