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Finding the Fourth Proportional to 342.78, 513.90 and 159.99

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Solution

The fourth proportional to 342.78, 513.90 and 159.99 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.78 : 513.90 = 159.99 : x
  2. Step 2: Convert to fraction form
    342.78/513.90 = 159.99/x
  3. Step 3: Cross multiply
    342.78x = 513.90 × 159.99
  4. Step 4: Simplify right side
    342.78x = 82,218.86
  5. Step 5: Solve for x
    x = 82,218.86/342.78
  6. Step 6: Final answer
    x = 239.86

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