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Finding the Fourth Proportional to 294.82, 406.84 and 163.83

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Solution

The fourth proportional to 294.82, 406.84 and 163.83 is: 226.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.82 : 406.84 = 163.83 : x
  2. Step 2: Convert to fraction form
    294.82/406.84 = 163.83/x
  3. Step 3: Cross multiply
    294.82x = 406.84 × 163.83
  4. Step 4: Simplify right side
    294.82x = 66,652.60
  5. Step 5: Solve for x
    x = 66,652.60/294.82
  6. Step 6: Final answer
    x = 226.08

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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.