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Finding the Fourth Proportional to 146.82, 219.72 and 141.15

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Solution

The fourth proportional to 146.82, 219.72 and 141.15 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.82 : 219.72 = 141.15 : x
  2. Step 2: Convert to fraction form
    146.82/219.72 = 141.15/x
  3. Step 3: Cross multiply
    146.82x = 219.72 × 141.15
  4. Step 4: Simplify right side
    146.82x = 31,013.48
  5. Step 5: Solve for x
    x = 31,013.48/146.82
  6. Step 6: Final answer
    x = 211.23

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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.