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Finding the Fourth Proportional to 380.96, 571.66 and 164.56

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Solution

The fourth proportional to 380.96, 571.66 and 164.56 is: 246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 571.66 = 164.56 : x
  2. Step 2: Convert to fraction form
    380.96/571.66 = 164.56/x
  3. Step 3: Cross multiply
    380.96x = 571.66 × 164.56
  4. Step 4: Simplify right side
    380.96x = 94,072.37
  5. Step 5: Solve for x
    x = 94,072.37/380.96
  6. Step 6: Final answer
    x = 246.94

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