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Finding the Fourth Proportional to 295.77, 408.11 and 171.42

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Solution

The fourth proportional to 295.77, 408.11 and 171.42 is: 236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.77 : 408.11 = 171.42 : x
  2. Step 2: Convert to fraction form
    295.77/408.11 = 171.42/x
  3. Step 3: Cross multiply
    295.77x = 408.11 × 171.42
  4. Step 4: Simplify right side
    295.77x = 69,958.22
  5. Step 5: Solve for x
    x = 69,958.22/295.77
  6. Step 6: Final answer
    x = 236.53

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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.