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Finding the Fourth Proportional to 432.80, 648.98 and 144.16

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Solution

The fourth proportional to 432.80, 648.98 and 144.16 is: 216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 648.98 = 144.16 : x
  2. Step 2: Convert to fraction form
    432.80/648.98 = 144.16/x
  3. Step 3: Cross multiply
    432.80x = 648.98 × 144.16
  4. Step 4: Simplify right side
    432.80x = 93,556.96
  5. Step 5: Solve for x
    x = 93,556.96/432.80
  6. Step 6: Final answer
    x = 216.17

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