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Finding the Fourth Proportional to 274.24, 378.15 and 204.43

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Solution

The fourth proportional to 274.24, 378.15 and 204.43 is: 281.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 378.15 = 204.43 : x
  2. Step 2: Convert to fraction form
    274.24/378.15 = 204.43/x
  3. Step 3: Cross multiply
    274.24x = 378.15 × 204.43
  4. Step 4: Simplify right side
    274.24x = 77,305.20
  5. Step 5: Solve for x
    x = 77,305.20/274.24
  6. Step 6: Final answer
    x = 281.89

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Why These Related Problems?

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