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Finding the Fourth Proportional to 547.38, 821 and 182.42

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Solution

The fourth proportional to 547.38, 821 and 182.42 is: 273.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 821 = 182.42 : x
  2. Step 2: Convert to fraction form
    547.38/821 = 182.42/x
  3. Step 3: Cross multiply
    547.38x = 821 × 182.42
  4. Step 4: Simplify right side
    547.38x = 149,766.82
  5. Step 5: Solve for x
    x = 149,766.82/547.38
  6. Step 6: Final answer
    x = 273.61

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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.