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Finding the Fourth Proportional to 299.94, 449.38 and 196.86

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Solution

The fourth proportional to 299.94, 449.38 and 196.86 is: 294.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 449.38 = 196.86 : x
  2. Step 2: Convert to fraction form
    299.94/449.38 = 196.86/x
  3. Step 3: Cross multiply
    299.94x = 449.38 × 196.86
  4. Step 4: Simplify right side
    299.94x = 88,464.95
  5. Step 5: Solve for x
    x = 88,464.95/299.94
  6. Step 6: Final answer
    x = 294.94

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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.