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Finding the Fourth Proportional to 295.82, 408.20 and 171.48

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Solution

The fourth proportional to 295.82, 408.20 and 171.48 is: 236.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.82 : 408.20 = 171.48 : x
  2. Step 2: Convert to fraction form
    295.82/408.20 = 171.48/x
  3. Step 3: Cross multiply
    295.82x = 408.20 × 171.48
  4. Step 4: Simplify right side
    295.82x = 69,998.14
  5. Step 5: Solve for x
    x = 69,998.14/295.82
  6. Step 6: Final answer
    x = 236.62

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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.