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Finding the Fourth Proportional to 272.46, 408.83 and 204.57

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Solution

The fourth proportional to 272.46, 408.83 and 204.57 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.46 : 408.83 = 204.57 : x
  2. Step 2: Convert to fraction form
    272.46/408.83 = 204.57/x
  3. Step 3: Cross multiply
    272.46x = 408.83 × 204.57
  4. Step 4: Simplify right side
    272.46x = 83,633.33
  5. Step 5: Solve for x
    x = 83,633.33/272.46
  6. Step 6: Final answer
    x = 306.96

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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.