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Finding the Fourth Proportional to 294.36, 406.24 and 163.41

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Solution

The fourth proportional to 294.36, 406.24 and 163.41 is: 225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.36 : 406.24 = 163.41 : x
  2. Step 2: Convert to fraction form
    294.36/406.24 = 163.41/x
  3. Step 3: Cross multiply
    294.36x = 406.24 × 163.41
  4. Step 4: Simplify right side
    294.36x = 66,381.65
  5. Step 5: Solve for x
    x = 66,381.65/294.36
  6. Step 6: Final answer
    x = 225.52

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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.