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Finding the Fourth Proportional to 295.78, 408.16 and 171.43

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Solution

The fourth proportional to 295.78, 408.16 and 171.43 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 408.16 = 171.43 : x
  2. Step 2: Convert to fraction form
    295.78/408.16 = 171.43/x
  3. Step 3: Cross multiply
    295.78x = 408.16 × 171.43
  4. Step 4: Simplify right side
    295.78x = 69,971.12
  5. Step 5: Solve for x
    x = 69,971.12/295.78
  6. Step 6: Final answer
    x = 236.57

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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.