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Finding the Fourth Proportional to 506.82, 760.17 and 141.66

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Solution

The fourth proportional to 506.82, 760.17 and 141.66 is: 212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.82 : 760.17 = 141.66 : x
  2. Step 2: Convert to fraction form
    506.82/760.17 = 141.66/x
  3. Step 3: Cross multiply
    506.82x = 760.17 × 141.66
  4. Step 4: Simplify right side
    506.82x = 107,685.68
  5. Step 5: Solve for x
    x = 107,685.68/506.82
  6. Step 6: Final answer
    x = 212.47

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