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Finding the Fourth Proportional to 177.81, 266.91 and 105.82

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Solution

The fourth proportional to 177.81, 266.91 and 105.82 is: 158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 266.91 = 105.82 : x
  2. Step 2: Convert to fraction form
    177.81/266.91 = 105.82/x
  3. Step 3: Cross multiply
    177.81x = 266.91 × 105.82
  4. Step 4: Simplify right side
    177.81x = 28,243.08
  5. Step 5: Solve for x
    x = 28,243.08/177.81
  6. Step 6: Final answer
    x = 158.84

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