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Finding the Fourth Proportional to 329.50, 493.91 and 146.71

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Solution

The fourth proportional to 329.50, 493.91 and 146.71 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.50 : 493.91 = 146.71 : x
  2. Step 2: Convert to fraction form
    329.50/493.91 = 146.71/x
  3. Step 3: Cross multiply
    329.50x = 493.91 × 146.71
  4. Step 4: Simplify right side
    329.50x = 72,461.54
  5. Step 5: Solve for x
    x = 72,461.54/329.50
  6. Step 6: Final answer
    x = 219.91

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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.