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Finding the Fourth Proportional to 274.49, 411.73 and 120.29

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Solution

The fourth proportional to 274.49, 411.73 and 120.29 is: 180.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 411.73 = 120.29 : x
  2. Step 2: Convert to fraction form
    274.49/411.73 = 120.29/x
  3. Step 3: Cross multiply
    274.49x = 411.73 × 120.29
  4. Step 4: Simplify right side
    274.49x = 49,527.73
  5. Step 5: Solve for x
    x = 49,527.73/274.49
  6. Step 6: Final answer
    x = 180.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.