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Finding the Fourth Proportional to 326.27, 450.10 and 201.89

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Solution

The fourth proportional to 326.27, 450.10 and 201.89 is: 278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.27 : 450.10 = 201.89 : x
  2. Step 2: Convert to fraction form
    326.27/450.10 = 201.89/x
  3. Step 3: Cross multiply
    326.27x = 450.10 × 201.89
  4. Step 4: Simplify right side
    326.27x = 90,870.69
  5. Step 5: Solve for x
    x = 90,870.69/326.27
  6. Step 6: Final answer
    x = 278.51

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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.