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Finding the Fourth Proportional to 547.52, 821.25 and 182.31

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Solution

The fourth proportional to 547.52, 821.25 and 182.31 is: 273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.52 : 821.25 = 182.31 : x
  2. Step 2: Convert to fraction form
    547.52/821.25 = 182.31/x
  3. Step 3: Cross multiply
    547.52x = 821.25 × 182.31
  4. Step 4: Simplify right side
    547.52x = 149,722.09
  5. Step 5: Solve for x
    x = 149,722.09/547.52
  6. Step 6: Final answer
    x = 273.46

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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.