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Finding the Fourth Proportional to 506.74, 759.96 and 182.10

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Solution

The fourth proportional to 506.74, 759.96 and 182.10 is: 273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 759.96 = 182.10 : x
  2. Step 2: Convert to fraction form
    506.74/759.96 = 182.10/x
  3. Step 3: Cross multiply
    506.74x = 759.96 × 182.10
  4. Step 4: Simplify right side
    506.74x = 138,388.72
  5. Step 5: Solve for x
    x = 138,388.72/506.74
  6. Step 6: Final answer
    x = 273.10

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