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Finding the Fourth Proportional to 207.27, 286.02 and 119.94

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Solution

The fourth proportional to 207.27, 286.02 and 119.94 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.27 : 286.02 = 119.94 : x
  2. Step 2: Convert to fraction form
    207.27/286.02 = 119.94/x
  3. Step 3: Cross multiply
    207.27x = 286.02 × 119.94
  4. Step 4: Simplify right side
    207.27x = 34,305.24
  5. Step 5: Solve for x
    x = 34,305.24/207.27
  6. Step 6: Final answer
    x = 165.51

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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.