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Finding the Fourth Proportional to 204.20, 306.28 and 75.96

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Solution

The fourth proportional to 204.20, 306.28 and 75.96 is: 113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.20 : 306.28 = 75.96 : x
  2. Step 2: Convert to fraction form
    204.20/306.28 = 75.96/x
  3. Step 3: Cross multiply
    204.20x = 306.28 × 75.96
  4. Step 4: Simplify right side
    204.20x = 23,265.03
  5. Step 5: Solve for x
    x = 23,265.03/204.20
  6. Step 6: Final answer
    x = 113.93

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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.