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Finding the Fourth Proportional to 200.27, 300.39 and 76.82

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Solution

The fourth proportional to 200.27, 300.39 and 76.82 is: 115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.27 : 300.39 = 76.82 : x
  2. Step 2: Convert to fraction form
    200.27/300.39 = 76.82/x
  3. Step 3: Cross multiply
    200.27x = 300.39 × 76.82
  4. Step 4: Simplify right side
    200.27x = 23,074.46
  5. Step 5: Solve for x
    x = 23,074.46/200.27
  6. Step 6: Final answer
    x = 115.22

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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.