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Finding the Fourth Proportional to 199.09, 298.34 and 112.42

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Solution

The fourth proportional to 199.09, 298.34 and 112.42 is: 168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.09 : 298.34 = 112.42 : x
  2. Step 2: Convert to fraction form
    199.09/298.34 = 112.42/x
  3. Step 3: Cross multiply
    199.09x = 298.34 × 112.42
  4. Step 4: Simplify right side
    199.09x = 33,537.89
  5. Step 5: Solve for x
    x = 33,537.89/199.09
  6. Step 6: Final answer
    x = 168.46

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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.