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Finding the Fourth Proportional to 397.76, 596.16 and 140.96

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Solution

The fourth proportional to 397.76, 596.16 and 140.96 is: 211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.76 : 596.16 = 140.96 : x
  2. Step 2: Convert to fraction form
    397.76/596.16 = 140.96/x
  3. Step 3: Cross multiply
    397.76x = 596.16 × 140.96
  4. Step 4: Simplify right side
    397.76x = 84,034.71
  5. Step 5: Solve for x
    x = 84,034.71/397.76
  6. Step 6: Final answer
    x = 211.27

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