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Finding the Fourth Proportional to 342.14, 513.86 and 205.43

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Solution

The fourth proportional to 342.14, 513.86 and 205.43 is: 308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 513.86 = 205.43 : x
  2. Step 2: Convert to fraction form
    342.14/513.86 = 205.43/x
  3. Step 3: Cross multiply
    342.14x = 513.86 × 205.43
  4. Step 4: Simplify right side
    342.14x = 105,558.66
  5. Step 5: Solve for x
    x = 105,558.66/342.14
  6. Step 6: Final answer
    x = 308.53

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