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Finding the Fourth Proportional to 490.84, 735.80 and 165.98

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Solution

The fourth proportional to 490.84, 735.80 and 165.98 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.84 : 735.80 = 165.98 : x
  2. Step 2: Convert to fraction form
    490.84/735.80 = 165.98/x
  3. Step 3: Cross multiply
    490.84x = 735.80 × 165.98
  4. Step 4: Simplify right side
    490.84x = 122,127.67
  5. Step 5: Solve for x
    x = 122,127.67/490.84
  6. Step 6: Final answer
    x = 248.81

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