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Finding the Fourth Proportional to 506.44, 759.76 and 181.80

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Solution

The fourth proportional to 506.44, 759.76 and 181.80 is: 272.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.44 : 759.76 = 181.80 : x
  2. Step 2: Convert to fraction form
    506.44/759.76 = 181.80/x
  3. Step 3: Cross multiply
    506.44x = 759.76 × 181.80
  4. Step 4: Simplify right side
    506.44x = 138,124.37
  5. Step 5: Solve for x
    x = 138,124.37/506.44
  6. Step 6: Final answer
    x = 272.74

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