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Finding the Fourth Proportional to 547.70, 821.14 and 200.85

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Solution

The fourth proportional to 547.70, 821.14 and 200.85 is: 301.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.70 : 821.14 = 200.85 : x
  2. Step 2: Convert to fraction form
    547.70/821.14 = 200.85/x
  3. Step 3: Cross multiply
    547.70x = 821.14 × 200.85
  4. Step 4: Simplify right side
    547.70x = 164,922.39
  5. Step 5: Solve for x
    x = 164,922.39/547.70
  6. Step 6: Final answer
    x = 301.12

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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.