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Finding the Fourth Proportional to 207.22, 286.07 and 165.12

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Solution

The fourth proportional to 207.22, 286.07 and 165.12 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.22 : 286.07 = 165.12 : x
  2. Step 2: Convert to fraction form
    207.22/286.07 = 165.12/x
  3. Step 3: Cross multiply
    207.22x = 286.07 × 165.12
  4. Step 4: Simplify right side
    207.22x = 47,235.88
  5. Step 5: Solve for x
    x = 47,235.88/207.22
  6. Step 6: Final answer
    x = 227.95

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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.