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Finding the Fourth Proportional to 382.92, 574.09 and 187.82

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Solution

The fourth proportional to 382.92, 574.09 and 187.82 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.92 : 574.09 = 187.82 : x
  2. Step 2: Convert to fraction form
    382.92/574.09 = 187.82/x
  3. Step 3: Cross multiply
    382.92x = 574.09 × 187.82
  4. Step 4: Simplify right side
    382.92x = 107,825.58
  5. Step 5: Solve for x
    x = 107,825.58/382.92
  6. Step 6: Final answer
    x = 281.59

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