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Finding the Fourth Proportional to 423.16, 634.78 and 149.20

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Solution

The fourth proportional to 423.16, 634.78 and 149.20 is: 223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.16 : 634.78 = 149.20 : x
  2. Step 2: Convert to fraction form
    423.16/634.78 = 149.20/x
  3. Step 3: Cross multiply
    423.16x = 634.78 × 149.20
  4. Step 4: Simplify right side
    423.16x = 94,709.18
  5. Step 5: Solve for x
    x = 94,709.18/423.16
  6. Step 6: Final answer
    x = 223.81

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