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Finding the Fourth Proportional to 432.16, 648.16 and 185.44

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Solution

The fourth proportional to 432.16, 648.16 and 185.44 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.16 : 648.16 = 185.44 : x
  2. Step 2: Convert to fraction form
    432.16/648.16 = 185.44/x
  3. Step 3: Cross multiply
    432.16x = 648.16 × 185.44
  4. Step 4: Simplify right side
    432.16x = 120,194.79
  5. Step 5: Solve for x
    x = 120,194.79/432.16
  6. Step 6: Final answer
    x = 278.13

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