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Finding the Fourth Proportional to 303.76, 419.00 and 185.78

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Solution

The fourth proportional to 303.76, 419.00 and 185.78 is: 256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.76 : 419.00 = 185.78 : x
  2. Step 2: Convert to fraction form
    303.76/419.00 = 185.78/x
  3. Step 3: Cross multiply
    303.76x = 419.00 × 185.78
  4. Step 4: Simplify right side
    303.76x = 77,843.05
  5. Step 5: Solve for x
    x = 77,843.05/303.76
  6. Step 6: Final answer
    x = 256.27

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