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Finding the Fourth Proportional to 286.17, 394.76 and 169.73

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Solution

The fourth proportional to 286.17, 394.76 and 169.73 is: 234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 394.76 = 169.73 : x
  2. Step 2: Convert to fraction form
    286.17/394.76 = 169.73/x
  3. Step 3: Cross multiply
    286.17x = 394.76 × 169.73
  4. Step 4: Simplify right side
    286.17x = 66,999.79
  5. Step 5: Solve for x
    x = 66,999.79/286.17
  6. Step 6: Final answer
    x = 234.13

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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.