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Finding the Fourth Proportional to 329.47, 493.49 and 146.61

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Solution

The fourth proportional to 329.47, 493.49 and 146.61 is: 219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.47 : 493.49 = 146.61 : x
  2. Step 2: Convert to fraction form
    329.47/493.49 = 146.61/x
  3. Step 3: Cross multiply
    329.47x = 493.49 × 146.61
  4. Step 4: Simplify right side
    329.47x = 72,350.94
  5. Step 5: Solve for x
    x = 72,350.94/329.47
  6. Step 6: Final answer
    x = 219.60

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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.