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Finding the Fourth Proportional to 180.12, 270.14 and 97.81

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Solution

The fourth proportional to 180.12, 270.14 and 97.81 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 270.14 = 97.81 : x
  2. Step 2: Convert to fraction form
    180.12/270.14 = 97.81/x
  3. Step 3: Cross multiply
    180.12x = 270.14 × 97.81
  4. Step 4: Simplify right side
    180.12x = 26,421.23
  5. Step 5: Solve for x
    x = 26,421.23/180.12
  6. Step 6: Final answer
    x = 146.68

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