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Finding the Fourth Proportional to 294.37, 406.23 and 163.38

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Solution

The fourth proportional to 294.37, 406.23 and 163.38 is: 225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.37 : 406.23 = 163.38 : x
  2. Step 2: Convert to fraction form
    294.37/406.23 = 163.38/x
  3. Step 3: Cross multiply
    294.37x = 406.23 × 163.38
  4. Step 4: Simplify right side
    294.37x = 66,367.42
  5. Step 5: Solve for x
    x = 66,367.42/294.37
  6. Step 6: Final answer
    x = 225.46

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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.