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Finding the Fourth Proportional to 173.60, 239.45 and 161.87

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Solution

The fourth proportional to 173.60, 239.45 and 161.87 is: 223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 239.45 = 161.87 : x
  2. Step 2: Convert to fraction form
    173.60/239.45 = 161.87/x
  3. Step 3: Cross multiply
    173.60x = 239.45 × 161.87
  4. Step 4: Simplify right side
    173.60x = 38,759.56
  5. Step 5: Solve for x
    x = 38,759.56/173.60
  6. Step 6: Final answer
    x = 223.28

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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.