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Finding the Fourth Proportional to 213.24, 319.98 and 105.04

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Solution

The fourth proportional to 213.24, 319.98 and 105.04 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 319.98 = 105.04 : x
  2. Step 2: Convert to fraction form
    213.24/319.98 = 105.04/x
  3. Step 3: Cross multiply
    213.24x = 319.98 × 105.04
  4. Step 4: Simplify right side
    213.24x = 33,608.57
  5. Step 5: Solve for x
    x = 33,608.57/213.24
  6. Step 6: Final answer
    x = 157.61

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