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Finding the Fourth Proportional to 506.56, 759.72 and 181.94

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Solution

The fourth proportional to 506.56, 759.72 and 181.94 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 759.72 = 181.94 : x
  2. Step 2: Convert to fraction form
    506.56/759.72 = 181.94/x
  3. Step 3: Cross multiply
    506.56x = 759.72 × 181.94
  4. Step 4: Simplify right side
    506.56x = 138,223.46
  5. Step 5: Solve for x
    x = 138,223.46/506.56
  6. Step 6: Final answer
    x = 272.87

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