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Finding the Fourth Proportional to 171.86, 237.15 and 119.41

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Solution

The fourth proportional to 171.86, 237.15 and 119.41 is: 164.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 237.15 = 119.41 : x
  2. Step 2: Convert to fraction form
    171.86/237.15 = 119.41/x
  3. Step 3: Cross multiply
    171.86x = 237.15 × 119.41
  4. Step 4: Simplify right side
    171.86x = 28,317.49
  5. Step 5: Solve for x
    x = 28,317.49/171.86
  6. Step 6: Final answer
    x = 164.78

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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.