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Finding the Fourth Proportional to 337.78, 506.44 and 106.59

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Solution

The fourth proportional to 337.78, 506.44 and 106.59 is: 159.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 506.44 = 106.59 : x
  2. Step 2: Convert to fraction form
    337.78/506.44 = 106.59/x
  3. Step 3: Cross multiply
    337.78x = 506.44 × 106.59
  4. Step 4: Simplify right side
    337.78x = 53,981.44
  5. Step 5: Solve for x
    x = 53,981.44/337.78
  6. Step 6: Final answer
    x = 159.81

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