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Finding the Fourth Proportional to 229.23, 315.90 and 163.62

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Solution

The fourth proportional to 229.23, 315.90 and 163.62 is: 225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.23 : 315.90 = 163.62 : x
  2. Step 2: Convert to fraction form
    229.23/315.90 = 163.62/x
  3. Step 3: Cross multiply
    229.23x = 315.90 × 163.62
  4. Step 4: Simplify right side
    229.23x = 51,687.56
  5. Step 5: Solve for x
    x = 51,687.56/229.23
  6. Step 6: Final answer
    x = 225.48

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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.