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Finding the Fourth Proportional to 329.96, 495.20 and 167.64

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Solution

The fourth proportional to 329.96, 495.20 and 167.64 is: 251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 495.20 = 167.64 : x
  2. Step 2: Convert to fraction form
    329.96/495.20 = 167.64/x
  3. Step 3: Cross multiply
    329.96x = 495.20 × 167.64
  4. Step 4: Simplify right side
    329.96x = 83,015.33
  5. Step 5: Solve for x
    x = 83,015.33/329.96
  6. Step 6: Final answer
    x = 251.59

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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.