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Finding the Fourth Proportional to 329.14, 493.38 and 146.62

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Solution

The fourth proportional to 329.14, 493.38 and 146.62 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 493.38 = 146.62 : x
  2. Step 2: Convert to fraction form
    329.14/493.38 = 146.62/x
  3. Step 3: Cross multiply
    329.14x = 493.38 × 146.62
  4. Step 4: Simplify right side
    329.14x = 72,339.38
  5. Step 5: Solve for x
    x = 72,339.38/329.14
  6. Step 6: Final answer
    x = 219.78

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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.