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Finding the Fourth Proportional to 330.83, 496.91 and 200.96

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Solution

The fourth proportional to 330.83, 496.91 and 200.96 is: 301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 496.91 = 200.96 : x
  2. Step 2: Convert to fraction form
    330.83/496.91 = 200.96/x
  3. Step 3: Cross multiply
    330.83x = 496.91 × 200.96
  4. Step 4: Simplify right side
    330.83x = 99,859.03
  5. Step 5: Solve for x
    x = 99,859.03/330.83
  6. Step 6: Final answer
    x = 301.84

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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.