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Finding the Fourth Proportional to 274.31, 378.49 and 200.50

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Solution

The fourth proportional to 274.31, 378.49 and 200.50 is: 276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.31 : 378.49 = 200.50 : x
  2. Step 2: Convert to fraction form
    274.31/378.49 = 200.50/x
  3. Step 3: Cross multiply
    274.31x = 378.49 × 200.50
  4. Step 4: Simplify right side
    274.31x = 75,886.39
  5. Step 5: Solve for x
    x = 75,886.39/274.31
  6. Step 6: Final answer
    x = 276.64

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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.