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Finding the Fourth Proportional to 335.87, 503.64 and 198.88

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Solution

The fourth proportional to 335.87, 503.64 and 198.88 is: 298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.87 : 503.64 = 198.88 : x
  2. Step 2: Convert to fraction form
    335.87/503.64 = 198.88/x
  3. Step 3: Cross multiply
    335.87x = 503.64 × 198.88
  4. Step 4: Simplify right side
    335.87x = 100,162.17
  5. Step 5: Solve for x
    x = 100,162.17/335.87
  6. Step 6: Final answer
    x = 298.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.