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Finding the Fourth Proportional to 817.81, 1,226.68 and 201.48

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Solution

The fourth proportional to 817.81, 1,226.68 and 201.48 is: 302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.81 : 1,226.68 = 201.48 : x
  2. Step 2: Convert to fraction form
    817.81/1,226.68 = 201.48/x
  3. Step 3: Cross multiply
    817.81x = 1,226.68 × 201.48
  4. Step 4: Simplify right side
    817.81x = 247,150.48
  5. Step 5: Solve for x
    x = 247,150.48/817.81
  6. Step 6: Final answer
    x = 302.21

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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.