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Finding the Fourth Proportional to 506.16, 759.23 and 140.94

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Solution

The fourth proportional to 506.16, 759.23 and 140.94 is: 211.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.16 : 759.23 = 140.94 : x
  2. Step 2: Convert to fraction form
    506.16/759.23 = 140.94/x
  3. Step 3: Cross multiply
    506.16x = 759.23 × 140.94
  4. Step 4: Simplify right side
    506.16x = 107,005.88
  5. Step 5: Solve for x
    x = 107,005.88/506.16
  6. Step 6: Final answer
    x = 211.41

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