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Finding the Fourth Proportional to 274.92, 412.09 and 120.71

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Solution

The fourth proportional to 274.92, 412.09 and 120.71 is: 180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.92 : 412.09 = 120.71 : x
  2. Step 2: Convert to fraction form
    274.92/412.09 = 120.71/x
  3. Step 3: Cross multiply
    274.92x = 412.09 × 120.71
  4. Step 4: Simplify right side
    274.92x = 49,744.11
  5. Step 5: Solve for x
    x = 49,744.11/274.92
  6. Step 6: Final answer
    x = 180.94

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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.