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Finding the Fourth Proportional to 216.46, 298.86 and 161.14

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Solution

The fourth proportional to 216.46, 298.86 and 161.14 is: 222.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 298.86 = 161.14 : x
  2. Step 2: Convert to fraction form
    216.46/298.86 = 161.14/x
  3. Step 3: Cross multiply
    216.46x = 298.86 × 161.14
  4. Step 4: Simplify right side
    216.46x = 48,158.30
  5. Step 5: Solve for x
    x = 48,158.30/216.46
  6. Step 6: Final answer
    x = 222.48

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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.