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Finding the Fourth Proportional to 506.13, 758.73 and 181.42

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Solution

The fourth proportional to 506.13, 758.73 and 181.42 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.13 : 758.73 = 181.42 : x
  2. Step 2: Convert to fraction form
    506.13/758.73 = 181.42/x
  3. Step 3: Cross multiply
    506.13x = 758.73 × 181.42
  4. Step 4: Simplify right side
    506.13x = 137,647.58
  5. Step 5: Solve for x
    x = 137,647.58/506.13
  6. Step 6: Final answer
    x = 271.96

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