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Finding the Fourth Proportional to 294.54, 406.46 and 163.54

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Solution

The fourth proportional to 294.54, 406.46 and 163.54 is: 225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.54 : 406.46 = 163.54 : x
  2. Step 2: Convert to fraction form
    294.54/406.46 = 163.54/x
  3. Step 3: Cross multiply
    294.54x = 406.46 × 163.54
  4. Step 4: Simplify right side
    294.54x = 66,471.65
  5. Step 5: Solve for x
    x = 66,471.65/294.54
  6. Step 6: Final answer
    x = 225.68

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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.