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Finding the Fourth Proportional to 206.28, 309.39 and 76.27

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Solution

The fourth proportional to 206.28, 309.39 and 76.27 is: 114.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 309.39 = 76.27 : x
  2. Step 2: Convert to fraction form
    206.28/309.39 = 76.27/x
  3. Step 3: Cross multiply
    206.28x = 309.39 × 76.27
  4. Step 4: Simplify right side
    206.28x = 23,597.18
  5. Step 5: Solve for x
    x = 23,597.18/206.28
  6. Step 6: Final answer
    x = 114.39

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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.