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Finding the Fourth Proportional to 199.06, 298.26 and 107.73

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Solution

The fourth proportional to 199.06, 298.26 and 107.73 is: 161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.06 : 298.26 = 107.73 : x
  2. Step 2: Convert to fraction form
    199.06/298.26 = 107.73/x
  3. Step 3: Cross multiply
    199.06x = 298.26 × 107.73
  4. Step 4: Simplify right side
    199.06x = 32,131.55
  5. Step 5: Solve for x
    x = 32,131.55/199.06
  6. Step 6: Final answer
    x = 161.42

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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.