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Finding the Fourth Proportional to 274.56, 379.43 and 204.85

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Solution

The fourth proportional to 274.56, 379.43 and 204.85 is: 283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.56 : 379.43 = 204.85 : x
  2. Step 2: Convert to fraction form
    274.56/379.43 = 204.85/x
  3. Step 3: Cross multiply
    274.56x = 379.43 × 204.85
  4. Step 4: Simplify right side
    274.56x = 77,725.47
  5. Step 5: Solve for x
    x = 77,725.47/274.56
  6. Step 6: Final answer
    x = 283.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.