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Finding the Fourth Proportional to 274.11, 411.27 and 127.94

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Solution

The fourth proportional to 274.11, 411.27 and 127.94 is: 191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.11 : 411.27 = 127.94 : x
  2. Step 2: Convert to fraction form
    274.11/411.27 = 127.94/x
  3. Step 3: Cross multiply
    274.11x = 411.27 × 127.94
  4. Step 4: Simplify right side
    274.11x = 52,618.43
  5. Step 5: Solve for x
    x = 52,618.43/274.11
  6. Step 6: Final answer
    x = 191.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.