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Finding the Fourth Proportional to 329.70, 494.67 and 146.96

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Solution

The fourth proportional to 329.70, 494.67 and 146.96 is: 220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.70 : 494.67 = 146.96 : x
  2. Step 2: Convert to fraction form
    329.70/494.67 = 146.96/x
  3. Step 3: Cross multiply
    329.70x = 494.67 × 146.96
  4. Step 4: Simplify right side
    329.70x = 72,694.23
  5. Step 5: Solve for x
    x = 72,694.23/329.70
  6. Step 6: Final answer
    x = 220.49

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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.