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Finding the Fourth Proportional to 547.24, 820.96 and 182.04

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Solution

The fourth proportional to 547.24, 820.96 and 182.04 is: 273.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 820.96 = 182.04 : x
  2. Step 2: Convert to fraction form
    547.24/820.96 = 182.04/x
  3. Step 3: Cross multiply
    547.24x = 820.96 × 182.04
  4. Step 4: Simplify right side
    547.24x = 149,447.56
  5. Step 5: Solve for x
    x = 149,447.56/547.24
  6. Step 6: Final answer
    x = 273.09

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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.