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Finding the Fourth Proportional to 409.62, 614.43 and 165.98

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Solution

The fourth proportional to 409.62, 614.43 and 165.98 is: 248.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.62 : 614.43 = 165.98 : x
  2. Step 2: Convert to fraction form
    409.62/614.43 = 165.98/x
  3. Step 3: Cross multiply
    409.62x = 614.43 × 165.98
  4. Step 4: Simplify right side
    409.62x = 101,984.63
  5. Step 5: Solve for x
    x = 101,984.63/409.62
  6. Step 6: Final answer
    x = 248.97

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