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Finding the Fourth Proportional to 276, 380.96 and 182.76

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Solution

The fourth proportional to 276, 380.96 and 182.76 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276 : 380.96 = 182.76 : x
  2. Step 2: Convert to fraction form
    276/380.96 = 182.76/x
  3. Step 3: Cross multiply
    276x = 380.96 × 182.76
  4. Step 4: Simplify right side
    276x = 69,624.25
  5. Step 5: Solve for x
    x = 69,624.25/276
  6. Step 6: Final answer
    x = 252.26

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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.