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Finding the Fourth Proportional to 234.70, 352.05 and 161.80

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Solution

The fourth proportional to 234.70, 352.05 and 161.80 is: 242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 352.05 = 161.80 : x
  2. Step 2: Convert to fraction form
    234.70/352.05 = 161.80/x
  3. Step 3: Cross multiply
    234.70x = 352.05 × 161.80
  4. Step 4: Simplify right side
    234.70x = 56,961.69
  5. Step 5: Solve for x
    x = 56,961.69/234.70
  6. Step 6: Final answer
    x = 242.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.