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Finding the Fourth Proportional to 310.80, 465.84 and 182.16

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Solution

The fourth proportional to 310.80, 465.84 and 182.16 is: 273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.80 : 465.84 = 182.16 : x
  2. Step 2: Convert to fraction form
    310.80/465.84 = 182.16/x
  3. Step 3: Cross multiply
    310.80x = 465.84 × 182.16
  4. Step 4: Simplify right side
    310.80x = 84,857.41
  5. Step 5: Solve for x
    x = 84,857.41/310.80
  6. Step 6: Final answer
    x = 273.03

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