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Finding the Fourth Proportional to 171.42, 258.57 and 161.43

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Solution

The fourth proportional to 171.42, 258.57 and 161.43 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 258.57 = 161.43 : x
  2. Step 2: Convert to fraction form
    171.42/258.57 = 161.43/x
  3. Step 3: Cross multiply
    171.42x = 258.57 × 161.43
  4. Step 4: Simplify right side
    171.42x = 41,740.96
  5. Step 5: Solve for x
    x = 41,740.96/171.42
  6. Step 6: Final answer
    x = 243.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.