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Finding the Fourth Proportional to 285.55, 394.16 and 180.81

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Solution

The fourth proportional to 285.55, 394.16 and 180.81 is: 249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.55 : 394.16 = 180.81 : x
  2. Step 2: Convert to fraction form
    285.55/394.16 = 180.81/x
  3. Step 3: Cross multiply
    285.55x = 394.16 × 180.81
  4. Step 4: Simplify right side
    285.55x = 71,268.64
  5. Step 5: Solve for x
    x = 71,268.64/285.55
  6. Step 6: Final answer
    x = 249.58

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