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Finding the Fourth Proportional to 264.35, 396.03 and 167.96

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Solution

The fourth proportional to 264.35, 396.03 and 167.96 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.35 : 396.03 = 167.96 : x
  2. Step 2: Convert to fraction form
    264.35/396.03 = 167.96/x
  3. Step 3: Cross multiply
    264.35x = 396.03 × 167.96
  4. Step 4: Simplify right side
    264.35x = 66,517.20
  5. Step 5: Solve for x
    x = 66,517.20/264.35
  6. Step 6: Final answer
    x = 251.63

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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.