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Finding the Fourth Proportional to 206.58, 309.81 and 119.91

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Solution

The fourth proportional to 206.58, 309.81 and 119.91 is: 179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 309.81 = 119.91 : x
  2. Step 2: Convert to fraction form
    206.58/309.81 = 119.91/x
  3. Step 3: Cross multiply
    206.58x = 309.81 × 119.91
  4. Step 4: Simplify right side
    206.58x = 37,149.32
  5. Step 5: Solve for x
    x = 37,149.32/206.58
  6. Step 6: Final answer
    x = 179.83

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