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Finding the Fourth Proportional to 205.88, 308.54 and 77.56

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Solution

The fourth proportional to 205.88, 308.54 and 77.56 is: 116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 308.54 = 77.56 : x
  2. Step 2: Convert to fraction form
    205.88/308.54 = 77.56/x
  3. Step 3: Cross multiply
    205.88x = 308.54 × 77.56
  4. Step 4: Simplify right side
    205.88x = 23,930.36
  5. Step 5: Solve for x
    x = 23,930.36/205.88
  6. Step 6: Final answer
    x = 116.23

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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.