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Finding the Fourth Proportional to 665.42, 998.13 and 178.52

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Solution

The fourth proportional to 665.42, 998.13 and 178.52 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.42 : 998.13 = 178.52 : x
  2. Step 2: Convert to fraction form
    665.42/998.13 = 178.52/x
  3. Step 3: Cross multiply
    665.42x = 998.13 × 178.52
  4. Step 4: Simplify right side
    665.42x = 178,186.17
  5. Step 5: Solve for x
    x = 178,186.17/665.42
  6. Step 6: Final answer
    x = 267.78

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