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Finding the Fourth Proportional to 279.23, 418.70 and 105.84

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Solution

The fourth proportional to 279.23, 418.70 and 105.84 is: 158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.23 : 418.70 = 105.84 : x
  2. Step 2: Convert to fraction form
    279.23/418.70 = 105.84/x
  3. Step 3: Cross multiply
    279.23x = 418.70 × 105.84
  4. Step 4: Simplify right side
    279.23x = 44,315.47
  5. Step 5: Solve for x
    x = 44,315.47/279.23
  6. Step 6: Final answer
    x = 158.71

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