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Finding the Fourth Proportional to 173.66, 240.10 and 161.42

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Solution

The fourth proportional to 173.66, 240.10 and 161.42 is: 223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.66 : 240.10 = 161.42 : x
  2. Step 2: Convert to fraction form
    173.66/240.10 = 161.42/x
  3. Step 3: Cross multiply
    173.66x = 240.10 × 161.42
  4. Step 4: Simplify right side
    173.66x = 38,756.94
  5. Step 5: Solve for x
    x = 38,756.94/173.66
  6. Step 6: Final answer
    x = 223.18

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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.