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Finding the Fourth Proportional to 282.63, 389.97 and 164.58

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Solution

The fourth proportional to 282.63, 389.97 and 164.58 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.63 : 389.97 = 164.58 : x
  2. Step 2: Convert to fraction form
    282.63/389.97 = 164.58/x
  3. Step 3: Cross multiply
    282.63x = 389.97 × 164.58
  4. Step 4: Simplify right side
    282.63x = 64,181.26
  5. Step 5: Solve for x
    x = 64,181.26/282.63
  6. Step 6: Final answer
    x = 227.09

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