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Finding the Fourth Proportional to 328.15, 452.84 and 180.78

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Solution

The fourth proportional to 328.15, 452.84 and 180.78 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 452.84 = 180.78 : x
  2. Step 2: Convert to fraction form
    328.15/452.84 = 180.78/x
  3. Step 3: Cross multiply
    328.15x = 452.84 × 180.78
  4. Step 4: Simplify right side
    328.15x = 81,864.87
  5. Step 5: Solve for x
    x = 81,864.87/328.15
  6. Step 6: Final answer
    x = 249.48

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