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Finding the Fourth Proportional to 287.64, 430.92 and 165.96

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Solution

The fourth proportional to 287.64, 430.92 and 165.96 is: 248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.64 : 430.92 = 165.96 : x
  2. Step 2: Convert to fraction form
    287.64/430.92 = 165.96/x
  3. Step 3: Cross multiply
    287.64x = 430.92 × 165.96
  4. Step 4: Simplify right side
    287.64x = 71,515.48
  5. Step 5: Solve for x
    x = 71,515.48/287.64
  6. Step 6: Final answer
    x = 248.63

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