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Finding the Fourth Proportional to 335.66, 503.27 and 198.73

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Solution

The fourth proportional to 335.66, 503.27 and 198.73 is: 297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 503.27 = 198.73 : x
  2. Step 2: Convert to fraction form
    335.66/503.27 = 198.73/x
  3. Step 3: Cross multiply
    335.66x = 503.27 × 198.73
  4. Step 4: Simplify right side
    335.66x = 100,011.34
  5. Step 5: Solve for x
    x = 100,011.34/335.66
  6. Step 6: Final answer
    x = 297.95

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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.