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Finding the Fourth Proportional to 205.78, 308.83 and 75.91

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Solution

The fourth proportional to 205.78, 308.83 and 75.91 is: 113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.78 : 308.83 = 75.91 : x
  2. Step 2: Convert to fraction form
    205.78/308.83 = 75.91/x
  3. Step 3: Cross multiply
    205.78x = 308.83 × 75.91
  4. Step 4: Simplify right side
    205.78x = 23,441.36
  5. Step 5: Solve for x
    x = 23,441.36/205.78
  6. Step 6: Final answer
    x = 113.91

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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.