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Finding the Fourth Proportional to 207.99, 286.14 and 163.44

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Solution

The fourth proportional to 207.99, 286.14 and 163.44 is: 224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.99 : 286.14 = 163.44 : x
  2. Step 2: Convert to fraction form
    207.99/286.14 = 163.44/x
  3. Step 3: Cross multiply
    207.99x = 286.14 × 163.44
  4. Step 4: Simplify right side
    207.99x = 46,766.72
  5. Step 5: Solve for x
    x = 46,766.72/207.99
  6. Step 6: Final answer
    x = 224.85

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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.