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Finding the Fourth Proportional to 274.14, 378.45 and 200.43

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Solution

The fourth proportional to 274.14, 378.45 and 200.43 is: 276.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.14 : 378.45 = 200.43 : x
  2. Step 2: Convert to fraction form
    274.14/378.45 = 200.43/x
  3. Step 3: Cross multiply
    274.14x = 378.45 × 200.43
  4. Step 4: Simplify right side
    274.14x = 75,852.73
  5. Step 5: Solve for x
    x = 75,852.73/274.14
  6. Step 6: Final answer
    x = 276.69

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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.