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Finding the Fourth Proportional to 204, 306.18 and 112.74

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Solution

The fourth proportional to 204, 306.18 and 112.74 is: 169.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204 : 306.18 = 112.74 : x
  2. Step 2: Convert to fraction form
    204/306.18 = 112.74/x
  3. Step 3: Cross multiply
    204x = 306.18 × 112.74
  4. Step 4: Simplify right side
    204x = 34,518.73
  5. Step 5: Solve for x
    x = 34,518.73/204
  6. Step 6: Final answer
    x = 169.21

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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.