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Finding the Fourth Proportional to 223.86, 336.11 and 199.86

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Solution

The fourth proportional to 223.86, 336.11 and 199.86 is: 300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.86 : 336.11 = 199.86 : x
  2. Step 2: Convert to fraction form
    223.86/336.11 = 199.86/x
  3. Step 3: Cross multiply
    223.86x = 336.11 × 199.86
  4. Step 4: Simplify right side
    223.86x = 67,174.94
  5. Step 5: Solve for x
    x = 67,174.94/223.86
  6. Step 6: Final answer
    x = 300.08

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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.