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Finding the Fourth Proportional to 199.00, 298.43 and 68.97

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Solution

The fourth proportional to 199.00, 298.43 and 68.97 is: 103.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.00 : 298.43 = 68.97 : x
  2. Step 2: Convert to fraction form
    199.00/298.43 = 68.97/x
  3. Step 3: Cross multiply
    199.00x = 298.43 × 68.97
  4. Step 4: Simplify right side
    199.00x = 20,582.37
  5. Step 5: Solve for x
    x = 20,582.37/199.00
  6. Step 6: Final answer
    x = 103.43

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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.