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Finding the Fourth Proportional to 326.70, 450.95 and 221.87

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Solution

The fourth proportional to 326.70, 450.95 and 221.87 is: 306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.70 : 450.95 = 221.87 : x
  2. Step 2: Convert to fraction form
    326.70/450.95 = 221.87/x
  3. Step 3: Cross multiply
    326.70x = 450.95 × 221.87
  4. Step 4: Simplify right side
    326.70x = 100,052.29
  5. Step 5: Solve for x
    x = 100,052.29/326.70
  6. Step 6: Final answer
    x = 306.25

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