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Finding the Fourth Proportional to 523.24, 784.86 and 181.16

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Solution

The fourth proportional to 523.24, 784.86 and 181.16 is: 271.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.24 : 784.86 = 181.16 : x
  2. Step 2: Convert to fraction form
    523.24/784.86 = 181.16/x
  3. Step 3: Cross multiply
    523.24x = 784.86 × 181.16
  4. Step 4: Simplify right side
    523.24x = 142,185.24
  5. Step 5: Solve for x
    x = 142,185.24/523.24
  6. Step 6: Final answer
    x = 271.74

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