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Finding the Fourth Proportional to 279.92, 419.75 and 164.41

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Solution

The fourth proportional to 279.92, 419.75 and 164.41 is: 246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.92 : 419.75 = 164.41 : x
  2. Step 2: Convert to fraction form
    279.92/419.75 = 164.41/x
  3. Step 3: Cross multiply
    279.92x = 419.75 × 164.41
  4. Step 4: Simplify right side
    279.92x = 69,009.84
  5. Step 5: Solve for x
    x = 69,009.84/279.92
  6. Step 6: Final answer
    x = 246.53

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