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Finding the Fourth Proportional to 276.03, 380.63 and 182.65

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Solution

The fourth proportional to 276.03, 380.63 and 182.65 is: 251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.03 : 380.63 = 182.65 : x
  2. Step 2: Convert to fraction form
    276.03/380.63 = 182.65/x
  3. Step 3: Cross multiply
    276.03x = 380.63 × 182.65
  4. Step 4: Simplify right side
    276.03x = 69,522.07
  5. Step 5: Solve for x
    x = 69,522.07/276.03
  6. Step 6: Final answer
    x = 251.86

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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.