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Finding the Fourth Proportional to 274.59, 378.68 and 200.61

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Solution

The fourth proportional to 274.59, 378.68 and 200.61 is: 276.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 378.68 = 200.61 : x
  2. Step 2: Convert to fraction form
    274.59/378.68 = 200.61/x
  3. Step 3: Cross multiply
    274.59x = 378.68 × 200.61
  4. Step 4: Simplify right side
    274.59x = 75,965.99
  5. Step 5: Solve for x
    x = 75,965.99/274.59
  6. Step 6: Final answer
    x = 276.65

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