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Finding the Fourth Proportional to 276.04, 381.06 and 182.78

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Solution

The fourth proportional to 276.04, 381.06 and 182.78 is: 252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.04 : 381.06 = 182.78 : x
  2. Step 2: Convert to fraction form
    276.04/381.06 = 182.78/x
  3. Step 3: Cross multiply
    276.04x = 381.06 × 182.78
  4. Step 4: Simplify right side
    276.04x = 69,650.15
  5. Step 5: Solve for x
    x = 69,650.15/276.04
  6. Step 6: Final answer
    x = 252.32

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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.