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Finding the Fourth Proportional to 415.95, 623.96 and 107.80

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Solution

The fourth proportional to 415.95, 623.96 and 107.80 is: 161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.95 : 623.96 = 107.80 : x
  2. Step 2: Convert to fraction form
    415.95/623.96 = 107.80/x
  3. Step 3: Cross multiply
    415.95x = 623.96 × 107.80
  4. Step 4: Simplify right side
    415.95x = 67,261.60
  5. Step 5: Solve for x
    x = 67,261.60/415.95
  6. Step 6: Final answer
    x = 161.71

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