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Finding the Fourth Proportional to 234.98, 324.35 and 161.40

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Solution

The fourth proportional to 234.98, 324.35 and 161.40 is: 222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 324.35 = 161.40 : x
  2. Step 2: Convert to fraction form
    234.98/324.35 = 161.40/x
  3. Step 3: Cross multiply
    234.98x = 324.35 × 161.40
  4. Step 4: Simplify right side
    234.98x = 52,350.09
  5. Step 5: Solve for x
    x = 52,350.09/234.98
  6. Step 6: Final answer
    x = 222.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.