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Finding the Fourth Proportional to 222.23, 305.90 and 163.11

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Solution

The fourth proportional to 222.23, 305.90 and 163.11 is: 224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.23 : 305.90 = 163.11 : x
  2. Step 2: Convert to fraction form
    222.23/305.90 = 163.11/x
  3. Step 3: Cross multiply
    222.23x = 305.90 × 163.11
  4. Step 4: Simplify right side
    222.23x = 49,895.72
  5. Step 5: Solve for x
    x = 49,895.72/222.23
  6. Step 6: Final answer
    x = 224.52

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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.