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Finding the Fourth Proportional to 330.61, 496.12 and 168.21

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Solution

The fourth proportional to 330.61, 496.12 and 168.21 is: 252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.61 : 496.12 = 168.21 : x
  2. Step 2: Convert to fraction form
    330.61/496.12 = 168.21/x
  3. Step 3: Cross multiply
    330.61x = 496.12 × 168.21
  4. Step 4: Simplify right side
    330.61x = 83,452.35
  5. Step 5: Solve for x
    x = 83,452.35/330.61
  6. Step 6: Final answer
    x = 252.42

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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.