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Finding the Fourth Proportional to 295.72, 408.12 and 171.41

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Solution

The fourth proportional to 295.72, 408.12 and 171.41 is: 236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.72 : 408.12 = 171.41 : x
  2. Step 2: Convert to fraction form
    295.72/408.12 = 171.41/x
  3. Step 3: Cross multiply
    295.72x = 408.12 × 171.41
  4. Step 4: Simplify right side
    295.72x = 69,953.81
  5. Step 5: Solve for x
    x = 69,953.81/295.72
  6. Step 6: Final answer
    x = 236.56

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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.