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Finding the Fourth Proportional to 306.78, 423.33 and 182.46

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Solution

The fourth proportional to 306.78, 423.33 and 182.46 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 423.33 = 182.46 : x
  2. Step 2: Convert to fraction form
    306.78/423.33 = 182.46/x
  3. Step 3: Cross multiply
    306.78x = 423.33 × 182.46
  4. Step 4: Simplify right side
    306.78x = 77,240.79
  5. Step 5: Solve for x
    x = 77,240.79/306.78
  6. Step 6: Final answer
    x = 251.78

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