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Finding the Fourth Proportional to 205.13, 307.82 and 76.88

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Solution

The fourth proportional to 205.13, 307.82 and 76.88 is: 115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 307.82 = 76.88 : x
  2. Step 2: Convert to fraction form
    205.13/307.82 = 76.88/x
  3. Step 3: Cross multiply
    205.13x = 307.82 × 76.88
  4. Step 4: Simplify right side
    205.13x = 23,663.85
  5. Step 5: Solve for x
    x = 23,663.85/205.13
  6. Step 6: Final answer
    x = 115.36

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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.