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Finding the Fourth Proportional to 326.05, 449.81 and 201.85

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Solution

The fourth proportional to 326.05, 449.81 and 201.85 is: 278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.05 : 449.81 = 201.85 : x
  2. Step 2: Convert to fraction form
    326.05/449.81 = 201.85/x
  3. Step 3: Cross multiply
    326.05x = 449.81 × 201.85
  4. Step 4: Simplify right side
    326.05x = 90,794.15
  5. Step 5: Solve for x
    x = 90,794.15/326.05
  6. Step 6: Final answer
    x = 278.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.