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Finding the Fourth Proportional to 272.12, 375.62 and 161.66

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Solution

The fourth proportional to 272.12, 375.62 and 161.66 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.12 : 375.62 = 161.66 : x
  2. Step 2: Convert to fraction form
    272.12/375.62 = 161.66/x
  3. Step 3: Cross multiply
    272.12x = 375.62 × 161.66
  4. Step 4: Simplify right side
    272.12x = 60,722.73
  5. Step 5: Solve for x
    x = 60,722.73/272.12
  6. Step 6: Final answer
    x = 223.15

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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.