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Finding the Fourth Proportional to 234.47, 352.34 and 126.34

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Solution

The fourth proportional to 234.47, 352.34 and 126.34 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 352.34 = 126.34 : x
  2. Step 2: Convert to fraction form
    234.47/352.34 = 126.34/x
  3. Step 3: Cross multiply
    234.47x = 352.34 × 126.34
  4. Step 4: Simplify right side
    234.47x = 44,514.64
  5. Step 5: Solve for x
    x = 44,514.64/234.47
  6. Step 6: Final answer
    x = 189.85

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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.