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Finding the Fourth Proportional to 274.20, 410.89 and 120.04

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Solution

The fourth proportional to 274.20, 410.89 and 120.04 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 410.89 = 120.04 : x
  2. Step 2: Convert to fraction form
    274.20/410.89 = 120.04/x
  3. Step 3: Cross multiply
    274.20x = 410.89 × 120.04
  4. Step 4: Simplify right side
    274.20x = 49,323.24
  5. Step 5: Solve for x
    x = 49,323.24/274.20
  6. Step 6: Final answer
    x = 179.88

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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.