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Finding the Fourth Proportional to 613.80, 920.67 and 180.95

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Solution

The fourth proportional to 613.80, 920.67 and 180.95 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 920.67 = 180.95 : x
  2. Step 2: Convert to fraction form
    613.80/920.67 = 180.95/x
  3. Step 3: Cross multiply
    613.80x = 920.67 × 180.95
  4. Step 4: Simplify right side
    613.80x = 166,590.63
  5. Step 5: Solve for x
    x = 166,590.63/613.80
  6. Step 6: Final answer
    x = 271.41

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