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Finding the Fourth Proportional to 234.68, 352.23 and 119.20

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Solution

The fourth proportional to 234.68, 352.23 and 119.20 is: 178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.68 : 352.23 = 119.20 : x
  2. Step 2: Convert to fraction form
    234.68/352.23 = 119.20/x
  3. Step 3: Cross multiply
    234.68x = 352.23 × 119.20
  4. Step 4: Simplify right side
    234.68x = 41,985.82
  5. Step 5: Solve for x
    x = 41,985.82/234.68
  6. Step 6: Final answer
    x = 178.91

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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.