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Finding the Fourth Proportional to 506.23, 759.27 and 140.98

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Solution

The fourth proportional to 506.23, 759.27 and 140.98 is: 211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.23 : 759.27 = 140.98 : x
  2. Step 2: Convert to fraction form
    506.23/759.27 = 140.98/x
  3. Step 3: Cross multiply
    506.23x = 759.27 × 140.98
  4. Step 4: Simplify right side
    506.23x = 107,041.88
  5. Step 5: Solve for x
    x = 107,041.88/506.23
  6. Step 6: Final answer
    x = 211.45

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