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Finding the Fourth Proportional to 274.07, 378.32 and 200.97

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Solution

The fourth proportional to 274.07, 378.32 and 200.97 is: 277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.07 : 378.32 = 200.97 : x
  2. Step 2: Convert to fraction form
    274.07/378.32 = 200.97/x
  3. Step 3: Cross multiply
    274.07x = 378.32 × 200.97
  4. Step 4: Simplify right side
    274.07x = 76,029.97
  5. Step 5: Solve for x
    x = 76,029.97/274.07
  6. Step 6: Final answer
    x = 277.42

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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.