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Finding the Fourth Proportional to 299.79, 449.87 and 178.29

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Solution

The fourth proportional to 299.79, 449.87 and 178.29 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 449.87 = 178.29 : x
  2. Step 2: Convert to fraction form
    299.79/449.87 = 178.29/x
  3. Step 3: Cross multiply
    299.79x = 449.87 × 178.29
  4. Step 4: Simplify right side
    299.79x = 80,206.43
  5. Step 5: Solve for x
    x = 80,206.43/299.79
  6. Step 6: Final answer
    x = 267.54

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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.