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Finding the Fourth Proportional to 409.36, 613.95 and 165.94

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Solution

The fourth proportional to 409.36, 613.95 and 165.94 is: 248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 613.95 = 165.94 : x
  2. Step 2: Convert to fraction form
    409.36/613.95 = 165.94/x
  3. Step 3: Cross multiply
    409.36x = 613.95 × 165.94
  4. Step 4: Simplify right side
    409.36x = 101,878.86
  5. Step 5: Solve for x
    x = 101,878.86/409.36
  6. Step 6: Final answer
    x = 248.87

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