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Finding the Fourth Proportional to 146.82, 219.69 and 114.42

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Solution

The fourth proportional to 146.82, 219.69 and 114.42 is: 171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 219.69 = 114.42 : x
  2. Step 2: Convert to fraction form
    146.82/219.69 = 114.42/x
  3. Step 3: Cross multiply
    146.82x = 219.69 × 114.42
  4. Step 4: Simplify right side
    146.82x = 25,136.93
  5. Step 5: Solve for x
    x = 25,136.93/146.82
  6. Step 6: Final answer
    x = 171.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.