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Finding the Fourth Proportional to 329.04, 493.02 and 166.50

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Solution

The fourth proportional to 329.04, 493.02 and 166.50 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.04 : 493.02 = 166.50 : x
  2. Step 2: Convert to fraction form
    329.04/493.02 = 166.50/x
  3. Step 3: Cross multiply
    329.04x = 493.02 × 166.50
  4. Step 4: Simplify right side
    329.04x = 82,087.83
  5. Step 5: Solve for x
    x = 82,087.83/329.04
  6. Step 6: Final answer
    x = 249.48

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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.