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Finding the Fourth Proportional to 282.56, 389.81 and 164.53

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Solution

The fourth proportional to 282.56, 389.81 and 164.53 is: 226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 389.81 = 164.53 : x
  2. Step 2: Convert to fraction form
    282.56/389.81 = 164.53/x
  3. Step 3: Cross multiply
    282.56x = 389.81 × 164.53
  4. Step 4: Simplify right side
    282.56x = 64,133.49
  5. Step 5: Solve for x
    x = 64,133.49/282.56
  6. Step 6: Final answer
    x = 226.97

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