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Finding the Fourth Proportional to 146.20, 219.12 and 134.68

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Solution

The fourth proportional to 146.20, 219.12 and 134.68 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 219.12 = 134.68 : x
  2. Step 2: Convert to fraction form
    146.20/219.12 = 134.68/x
  3. Step 3: Cross multiply
    146.20x = 219.12 × 134.68
  4. Step 4: Simplify right side
    146.20x = 29,511.08
  5. Step 5: Solve for x
    x = 29,511.08/146.20
  6. Step 6: Final answer
    x = 201.85

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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.