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Finding the Fourth Proportional to 146.25, 219.42 and 109.76

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Solution

The fourth proportional to 146.25, 219.42 and 109.76 is: 164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 219.42 = 109.76 : x
  2. Step 2: Convert to fraction form
    146.25/219.42 = 109.76/x
  3. Step 3: Cross multiply
    146.25x = 219.42 × 109.76
  4. Step 4: Simplify right side
    146.25x = 24,082.44
  5. Step 5: Solve for x
    x = 24,082.44/146.25
  6. Step 6: Final answer
    x = 164.67

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