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Finding the Fourth Proportional to 231.88, 320 and 144.56

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Solution

The fourth proportional to 231.88, 320 and 144.56 is: 199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 320 = 144.56 : x
  2. Step 2: Convert to fraction form
    231.88/320 = 144.56/x
  3. Step 3: Cross multiply
    231.88x = 320 × 144.56
  4. Step 4: Simplify right side
    231.88x = 46,259.20
  5. Step 5: Solve for x
    x = 46,259.20/231.88
  6. Step 6: Final answer
    x = 199.50

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