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Finding the Fourth Proportional to 186.82, 257.79 and 109.24

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Solution

The fourth proportional to 186.82, 257.79 and 109.24 is: 150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.82 : 257.79 = 109.24 : x
  2. Step 2: Convert to fraction form
    186.82/257.79 = 109.24/x
  3. Step 3: Cross multiply
    186.82x = 257.79 × 109.24
  4. Step 4: Simplify right side
    186.82x = 28,160.98
  5. Step 5: Solve for x
    x = 28,160.98/186.82
  6. Step 6: Final answer
    x = 150.74

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