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Finding the Fourth Proportional to 506.74, 759.66 and 182.06

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Solution

The fourth proportional to 506.74, 759.66 and 182.06 is: 272.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 759.66 = 182.06 : x
  2. Step 2: Convert to fraction form
    506.74/759.66 = 182.06/x
  3. Step 3: Cross multiply
    506.74x = 759.66 × 182.06
  4. Step 4: Simplify right side
    506.74x = 138,303.70
  5. Step 5: Solve for x
    x = 138,303.70/506.74
  6. Step 6: Final answer
    x = 272.93

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