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Finding the Fourth Proportional to 171.24, 237.71 and 160.44

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Solution

The fourth proportional to 171.24, 237.71 and 160.44 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 237.71 = 160.44 : x
  2. Step 2: Convert to fraction form
    171.24/237.71 = 160.44/x
  3. Step 3: Cross multiply
    171.24x = 237.71 × 160.44
  4. Step 4: Simplify right side
    171.24x = 38,137.39
  5. Step 5: Solve for x
    x = 38,137.39/171.24
  6. Step 6: Final answer
    x = 222.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.