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Finding the Fourth Proportional to 329.02, 493.09 and 166.82

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Solution

The fourth proportional to 329.02, 493.09 and 166.82 is: 250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.02 : 493.09 = 166.82 : x
  2. Step 2: Convert to fraction form
    329.02/493.09 = 166.82/x
  3. Step 3: Cross multiply
    329.02x = 493.09 × 166.82
  4. Step 4: Simplify right side
    329.02x = 82,257.27
  5. Step 5: Solve for x
    x = 82,257.27/329.02
  6. Step 6: Final answer
    x = 250.01

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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.