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Finding the Fourth Proportional to 274.64, 411.96 and 92.05

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Solution

The fourth proportional to 274.64, 411.96 and 92.05 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.64 : 411.96 = 92.05 : x
  2. Step 2: Convert to fraction form
    274.64/411.96 = 92.05/x
  3. Step 3: Cross multiply
    274.64x = 411.96 × 92.05
  4. Step 4: Simplify right side
    274.64x = 37,918.86
  5. Step 5: Solve for x
    x = 37,918.86/274.64
  6. Step 6: Final answer
    x = 138.07

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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.