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Finding the Fourth Proportional to 543.14, 814.60 and 196.42

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Solution

The fourth proportional to 543.14, 814.60 and 196.42 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.14 : 814.60 = 196.42 : x
  2. Step 2: Convert to fraction form
    543.14/814.60 = 196.42/x
  3. Step 3: Cross multiply
    543.14x = 814.60 × 196.42
  4. Step 4: Simplify right side
    543.14x = 160,003.73
  5. Step 5: Solve for x
    x = 160,003.73/543.14
  6. Step 6: Final answer
    x = 294.59

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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.