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Finding the Fourth Proportional to 329.21, 493.05 and 166.50

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Solution

The fourth proportional to 329.21, 493.05 and 166.50 is: 249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.21 : 493.05 = 166.50 : x
  2. Step 2: Convert to fraction form
    329.21/493.05 = 166.50/x
  3. Step 3: Cross multiply
    329.21x = 493.05 × 166.50
  4. Step 4: Simplify right side
    329.21x = 82,092.83
  5. Step 5: Solve for x
    x = 82,092.83/329.21
  6. Step 6: Final answer
    x = 249.36

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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.