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Finding the Fourth Proportional to 294.40, 406.24 and 163.44

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Solution

The fourth proportional to 294.40, 406.24 and 163.44 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.40 : 406.24 = 163.44 : x
  2. Step 2: Convert to fraction form
    294.40/406.24 = 163.44/x
  3. Step 3: Cross multiply
    294.40x = 406.24 × 163.44
  4. Step 4: Simplify right side
    294.40x = 66,395.87
  5. Step 5: Solve for x
    x = 66,395.87/294.40
  6. Step 6: Final answer
    x = 225.53

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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.