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Finding the Fourth Proportional to 287.92, 431.32 and 165.84

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Solution

The fourth proportional to 287.92, 431.32 and 165.84 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.92 : 431.32 = 165.84 : x
  2. Step 2: Convert to fraction form
    287.92/431.32 = 165.84/x
  3. Step 3: Cross multiply
    287.92x = 431.32 × 165.84
  4. Step 4: Simplify right side
    287.92x = 71,530.11
  5. Step 5: Solve for x
    x = 71,530.11/287.92
  6. Step 6: Final answer
    x = 248.44

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