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Finding the Fourth Proportional to 299.30, 449.15 and 196.34

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Solution

The fourth proportional to 299.30, 449.15 and 196.34 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.30 : 449.15 = 196.34 : x
  2. Step 2: Convert to fraction form
    299.30/449.15 = 196.34/x
  3. Step 3: Cross multiply
    299.30x = 449.15 × 196.34
  4. Step 4: Simplify right side
    299.30x = 88,182.88
  5. Step 5: Solve for x
    x = 88,182.88/299.30
  6. Step 6: Final answer
    x = 294.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.