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Finding the Fourth Proportional to 337.82, 506.79 and 106.77

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Solution

The fourth proportional to 337.82, 506.79 and 106.77 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.82 : 506.79 = 106.77 : x
  2. Step 2: Convert to fraction form
    337.82/506.79 = 106.77/x
  3. Step 3: Cross multiply
    337.82x = 506.79 × 106.77
  4. Step 4: Simplify right side
    337.82x = 54,109.47
  5. Step 5: Solve for x
    x = 54,109.47/337.82
  6. Step 6: Final answer
    x = 160.17

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