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Finding the Fourth Proportional to 171.08, 235.82 and 161.32

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Solution

The fourth proportional to 171.08, 235.82 and 161.32 is: 222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.08 : 235.82 = 161.32 : x
  2. Step 2: Convert to fraction form
    171.08/235.82 = 161.32/x
  3. Step 3: Cross multiply
    171.08x = 235.82 × 161.32
  4. Step 4: Simplify right side
    171.08x = 38,042.48
  5. Step 5: Solve for x
    x = 38,042.48/171.08
  6. Step 6: Final answer
    x = 222.37

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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.