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Finding the Fourth Proportional to 289.04, 398.82 and 164.65

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Solution

The fourth proportional to 289.04, 398.82 and 164.65 is: 227.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 398.82 = 164.65 : x
  2. Step 2: Convert to fraction form
    289.04/398.82 = 164.65/x
  3. Step 3: Cross multiply
    289.04x = 398.82 × 164.65
  4. Step 4: Simplify right side
    289.04x = 65,665.71
  5. Step 5: Solve for x
    x = 65,665.71/289.04
  6. Step 6: Final answer
    x = 227.19

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