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Finding the Fourth Proportional to 329.15, 493.73 and 166.84

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Solution

The fourth proportional to 329.15, 493.73 and 166.84 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.15 : 493.73 = 166.84 : x
  2. Step 2: Convert to fraction form
    329.15/493.73 = 166.84/x
  3. Step 3: Cross multiply
    329.15x = 493.73 × 166.84
  4. Step 4: Simplify right side
    329.15x = 82,373.91
  5. Step 5: Solve for x
    x = 82,373.91/329.15
  6. Step 6: Final answer
    x = 250.26

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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.