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Finding the Fourth Proportional to 438.52, 657.96 and 164.57

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Solution

The fourth proportional to 438.52, 657.96 and 164.57 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 657.96 = 164.57 : x
  2. Step 2: Convert to fraction form
    438.52/657.96 = 164.57/x
  3. Step 3: Cross multiply
    438.52x = 657.96 × 164.57
  4. Step 4: Simplify right side
    438.52x = 108,282.12
  5. Step 5: Solve for x
    x = 108,282.12/438.52
  6. Step 6: Final answer
    x = 246.93

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