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Finding the Fourth Proportional to 234.98, 352.37 and 119.28

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Solution

The fourth proportional to 234.98, 352.37 and 119.28 is: 178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 352.37 = 119.28 : x
  2. Step 2: Convert to fraction form
    234.98/352.37 = 119.28/x
  3. Step 3: Cross multiply
    234.98x = 352.37 × 119.28
  4. Step 4: Simplify right side
    234.98x = 42,030.69
  5. Step 5: Solve for x
    x = 42,030.69/234.98
  6. Step 6: Final answer
    x = 178.87

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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.