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Finding the Fourth Proportional to 274.40, 378.78 and 200.54

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Solution

The fourth proportional to 274.40, 378.78 and 200.54 is: 276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.40 : 378.78 = 200.54 : x
  2. Step 2: Convert to fraction form
    274.40/378.78 = 200.54/x
  3. Step 3: Cross multiply
    274.40x = 378.78 × 200.54
  4. Step 4: Simplify right side
    274.40x = 75,960.54
  5. Step 5: Solve for x
    x = 75,960.54/274.40
  6. Step 6: Final answer
    x = 276.82

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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.