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Finding the Fourth Proportional to 613.23, 919.80 and 180.42

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Solution

The fourth proportional to 613.23, 919.80 and 180.42 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.23 : 919.80 = 180.42 : x
  2. Step 2: Convert to fraction form
    613.23/919.80 = 180.42/x
  3. Step 3: Cross multiply
    613.23x = 919.80 × 180.42
  4. Step 4: Simplify right side
    613.23x = 165,950.32
  5. Step 5: Solve for x
    x = 165,950.32/613.23
  6. Step 6: Final answer
    x = 270.62

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