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Finding the Fourth Proportional to 146.46, 219.81 and 110.49

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Solution

The fourth proportional to 146.46, 219.81 and 110.49 is: 165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 219.81 = 110.49 : x
  2. Step 2: Convert to fraction form
    146.46/219.81 = 110.49/x
  3. Step 3: Cross multiply
    146.46x = 219.81 × 110.49
  4. Step 4: Simplify right side
    146.46x = 24,286.81
  5. Step 5: Solve for x
    x = 24,286.81/146.46
  6. Step 6: Final answer
    x = 165.83

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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.