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Finding the Fourth Proportional to 295.82, 408.22 and 164.83

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Solution

The fourth proportional to 295.82, 408.22 and 164.83 is: 227.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 408.22 = 164.83 : x
  2. Step 2: Convert to fraction form
    295.82/408.22 = 164.83/x
  3. Step 3: Cross multiply
    295.82x = 408.22 × 164.83
  4. Step 4: Simplify right side
    295.82x = 67,286.90
  5. Step 5: Solve for x
    x = 67,286.90/295.82
  6. Step 6: Final answer
    x = 227.46

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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.