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Finding the Fourth Proportional to 207.41, 286.24 and 118.92

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Solution

The fourth proportional to 207.41, 286.24 and 118.92 is: 164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.41 : 286.24 = 118.92 : x
  2. Step 2: Convert to fraction form
    207.41/286.24 = 118.92/x
  3. Step 3: Cross multiply
    207.41x = 286.24 × 118.92
  4. Step 4: Simplify right side
    207.41x = 34,039.66
  5. Step 5: Solve for x
    x = 34,039.66/207.41
  6. Step 6: Final answer
    x = 164.12

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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.