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Finding the Fourth Proportional to 274.87, 412.16 and 92.20

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Solution

The fourth proportional to 274.87, 412.16 and 92.20 is: 138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.87 : 412.16 = 92.20 : x
  2. Step 2: Convert to fraction form
    274.87/412.16 = 92.20/x
  3. Step 3: Cross multiply
    274.87x = 412.16 × 92.20
  4. Step 4: Simplify right side
    274.87x = 38,001.15
  5. Step 5: Solve for x
    x = 38,001.15/274.87
  6. Step 6: Final answer
    x = 138.25

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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.