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Finding the Fourth Proportional to 272.74, 408.82 and 204.58

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Solution

The fourth proportional to 272.74, 408.82 and 204.58 is: 306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 408.82 = 204.58 : x
  2. Step 2: Convert to fraction form
    272.74/408.82 = 204.58/x
  3. Step 3: Cross multiply
    272.74x = 408.82 × 204.58
  4. Step 4: Simplify right side
    272.74x = 83,635.05
  5. Step 5: Solve for x
    x = 83,635.05/272.74
  6. Step 6: Final answer
    x = 306.65

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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.