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Finding the Fourth Proportional to 547.50, 821.09 and 182.29

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Solution

The fourth proportional to 547.50, 821.09 and 182.29 is: 273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 821.09 = 182.29 : x
  2. Step 2: Convert to fraction form
    547.50/821.09 = 182.29/x
  3. Step 3: Cross multiply
    547.50x = 821.09 × 182.29
  4. Step 4: Simplify right side
    547.50x = 149,676.50
  5. Step 5: Solve for x
    x = 149,676.50/547.50
  6. Step 6: Final answer
    x = 273.38

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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.