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Finding the Fourth Proportional to 287.82, 431.64 and 164.61

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Solution

The fourth proportional to 287.82, 431.64 and 164.61 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.82 : 431.64 = 164.61 : x
  2. Step 2: Convert to fraction form
    287.82/431.64 = 164.61/x
  3. Step 3: Cross multiply
    287.82x = 431.64 × 164.61
  4. Step 4: Simplify right side
    287.82x = 71,052.26
  5. Step 5: Solve for x
    x = 71,052.26/287.82
  6. Step 6: Final answer
    x = 246.86

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