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Finding the Fourth Proportional to 234.76, 324.03 and 161.05

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Solution

The fourth proportional to 234.76, 324.03 and 161.05 is: 222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.76 : 324.03 = 161.05 : x
  2. Step 2: Convert to fraction form
    234.76/324.03 = 161.05/x
  3. Step 3: Cross multiply
    234.76x = 324.03 × 161.05
  4. Step 4: Simplify right side
    234.76x = 52,185.03
  5. Step 5: Solve for x
    x = 52,185.03/234.76
  6. Step 6: Final answer
    x = 222.29

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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.