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Finding the Fourth Proportional to 299.18, 447.60 and 196.11

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Solution

The fourth proportional to 299.18, 447.60 and 196.11 is: 293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.18 : 447.60 = 196.11 : x
  2. Step 2: Convert to fraction form
    299.18/447.60 = 196.11/x
  3. Step 3: Cross multiply
    299.18x = 447.60 × 196.11
  4. Step 4: Simplify right side
    299.18x = 87,778.84
  5. Step 5: Solve for x
    x = 87,778.84/299.18
  6. Step 6: Final answer
    x = 293.40

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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.