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Finding the Fourth Proportional to 213.24, 319.72 and 116.92

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Solution

The fourth proportional to 213.24, 319.72 and 116.92 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.24 : 319.72 = 116.92 : x
  2. Step 2: Convert to fraction form
    213.24/319.72 = 116.92/x
  3. Step 3: Cross multiply
    213.24x = 319.72 × 116.92
  4. Step 4: Simplify right side
    213.24x = 37,381.66
  5. Step 5: Solve for x
    x = 37,381.66/213.24
  6. Step 6: Final answer
    x = 175.30

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