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Finding the Fourth Proportional to 818.28, 1,227.38 and 201.96

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Solution

The fourth proportional to 818.28, 1,227.38 and 201.96 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.28 : 1,227.38 = 201.96 : x
  2. Step 2: Convert to fraction form
    818.28/1,227.38 = 201.96/x
  3. Step 3: Cross multiply
    818.28x = 1,227.38 × 201.96
  4. Step 4: Simplify right side
    818.28x = 247,881.66
  5. Step 5: Solve for x
    x = 247,881.66/818.28
  6. Step 6: Final answer
    x = 302.93

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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.