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Finding the Fourth Proportional to 199.02, 298.38 and 68.97

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Solution

The fourth proportional to 199.02, 298.38 and 68.97 is: 103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.02 : 298.38 = 68.97 : x
  2. Step 2: Convert to fraction form
    199.02/298.38 = 68.97/x
  3. Step 3: Cross multiply
    199.02x = 298.38 × 68.97
  4. Step 4: Simplify right side
    199.02x = 20,578.97
  5. Step 5: Solve for x
    x = 20,578.97/199.02
  6. Step 6: Final answer
    x = 103.40

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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.