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Finding the Fourth Proportional to 276.20, 380.94 and 182.96

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Solution

The fourth proportional to 276.20, 380.94 and 182.96 is: 252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.20 : 380.94 = 182.96 : x
  2. Step 2: Convert to fraction form
    276.20/380.94 = 182.96/x
  3. Step 3: Cross multiply
    276.20x = 380.94 × 182.96
  4. Step 4: Simplify right side
    276.20x = 69,696.78
  5. Step 5: Solve for x
    x = 69,696.78/276.20
  6. Step 6: Final answer
    x = 252.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.