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Finding the Fourth Proportional to 199.39, 298.91 and 107.99

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Solution

The fourth proportional to 199.39, 298.91 and 107.99 is: 161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.39 : 298.91 = 107.99 : x
  2. Step 2: Convert to fraction form
    199.39/298.91 = 107.99/x
  3. Step 3: Cross multiply
    199.39x = 298.91 × 107.99
  4. Step 4: Simplify right side
    199.39x = 32,277.80
  5. Step 5: Solve for x
    x = 32,277.80/199.39
  6. Step 6: Final answer
    x = 161.88

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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.