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Finding the Fourth Proportional to 319.75, 479.84 and 137.16

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Solution

The fourth proportional to 319.75, 479.84 and 137.16 is: 205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 479.84 = 137.16 : x
  2. Step 2: Convert to fraction form
    319.75/479.84 = 137.16/x
  3. Step 3: Cross multiply
    319.75x = 479.84 × 137.16
  4. Step 4: Simplify right side
    319.75x = 65,814.17
  5. Step 5: Solve for x
    x = 65,814.17/319.75
  6. Step 6: Final answer
    x = 205.83

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