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Finding the Fourth Proportional to 387.98, 581.78 and 182.64

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Solution

The fourth proportional to 387.98, 581.78 and 182.64 is: 273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.98 : 581.78 = 182.64 : x
  2. Step 2: Convert to fraction form
    387.98/581.78 = 182.64/x
  3. Step 3: Cross multiply
    387.98x = 581.78 × 182.64
  4. Step 4: Simplify right side
    387.98x = 106,256.30
  5. Step 5: Solve for x
    x = 106,256.30/387.98
  6. Step 6: Final answer
    x = 273.87

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