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Finding the Fourth Proportional to 146.22, 219.09 and 142.62

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Solution

The fourth proportional to 146.22, 219.09 and 142.62 is: 213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 219.09 = 142.62 : x
  2. Step 2: Convert to fraction form
    146.22/219.09 = 142.62/x
  3. Step 3: Cross multiply
    146.22x = 219.09 × 142.62
  4. Step 4: Simplify right side
    146.22x = 31,246.62
  5. Step 5: Solve for x
    x = 31,246.62/146.22
  6. Step 6: Final answer
    x = 213.70

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Why These Related Problems?

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