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Finding the Fourth Proportional to 299.36, 449.02 and 178.39

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Solution

The fourth proportional to 299.36, 449.02 and 178.39 is: 267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 449.02 = 178.39 : x
  2. Step 2: Convert to fraction form
    299.36/449.02 = 178.39/x
  3. Step 3: Cross multiply
    299.36x = 449.02 × 178.39
  4. Step 4: Simplify right side
    299.36x = 80,100.68
  5. Step 5: Solve for x
    x = 80,100.68/299.36
  6. Step 6: Final answer
    x = 267.57

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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.