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Finding the Fourth Proportional to 547.34, 820.82 and 182.03

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Solution

The fourth proportional to 547.34, 820.82 and 182.03 is: 272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.34 : 820.82 = 182.03 : x
  2. Step 2: Convert to fraction form
    547.34/820.82 = 182.03/x
  3. Step 3: Cross multiply
    547.34x = 820.82 × 182.03
  4. Step 4: Simplify right side
    547.34x = 149,408.85
  5. Step 5: Solve for x
    x = 149,408.85/547.34
  6. Step 6: Final answer
    x = 272.98

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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.