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Finding the Fourth Proportional to 547.52, 821.50 and 182.34

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Solution

The fourth proportional to 547.52, 821.50 and 182.34 is: 273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 821.50 = 182.34 : x
  2. Step 2: Convert to fraction form
    547.52/821.50 = 182.34/x
  3. Step 3: Cross multiply
    547.52x = 821.50 × 182.34
  4. Step 4: Simplify right side
    547.52x = 149,791.85
  5. Step 5: Solve for x
    x = 149,791.85/547.52
  6. Step 6: Final answer
    x = 273.58

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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.