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Finding the Fourth Proportional to 197.76, 296.64 and 111.06

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Solution

The fourth proportional to 197.76, 296.64 and 111.06 is: 166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 296.64 = 111.06 : x
  2. Step 2: Convert to fraction form
    197.76/296.64 = 111.06/x
  3. Step 3: Cross multiply
    197.76x = 296.64 × 111.06
  4. Step 4: Simplify right side
    197.76x = 32,944.84
  5. Step 5: Solve for x
    x = 32,944.84/197.76
  6. Step 6: Final answer
    x = 166.59

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