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Finding the Fourth Proportional to 274.44, 410.94 and 187.57

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Solution

The fourth proportional to 274.44, 410.94 and 187.57 is: 280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.44 : 410.94 = 187.57 : x
  2. Step 2: Convert to fraction form
    274.44/410.94 = 187.57/x
  3. Step 3: Cross multiply
    274.44x = 410.94 × 187.57
  4. Step 4: Simplify right side
    274.44x = 77,080.02
  5. Step 5: Solve for x
    x = 77,080.02/274.44
  6. Step 6: Final answer
    x = 280.86

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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.