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Finding the Fourth Proportional to 148.56, 205 and 86.42

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Solution

The fourth proportional to 148.56, 205 and 86.42 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.56 : 205 = 86.42 : x
  2. Step 2: Convert to fraction form
    148.56/205 = 86.42/x
  3. Step 3: Cross multiply
    148.56x = 205 × 86.42
  4. Step 4: Simplify right side
    148.56x = 17,716.10
  5. Step 5: Solve for x
    x = 17,716.10/148.56
  6. Step 6: Final answer
    x = 119.25

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