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Finding the Fourth Proportional to 216.91, 298.96 and 161.83

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Solution

The fourth proportional to 216.91, 298.96 and 161.83 is: 223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.91 : 298.96 = 161.83 : x
  2. Step 2: Convert to fraction form
    216.91/298.96 = 161.83/x
  3. Step 3: Cross multiply
    216.91x = 298.96 × 161.83
  4. Step 4: Simplify right side
    216.91x = 48,380.70
  5. Step 5: Solve for x
    x = 48,380.70/216.91
  6. Step 6: Final answer
    x = 223.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.