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Finding the Fourth Proportional to 234.63, 352.68 and 132.12

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Solution

The fourth proportional to 234.63, 352.68 and 132.12 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 352.68 = 132.12 : x
  2. Step 2: Convert to fraction form
    234.63/352.68 = 132.12/x
  3. Step 3: Cross multiply
    234.63x = 352.68 × 132.12
  4. Step 4: Simplify right side
    234.63x = 46,595.59
  5. Step 5: Solve for x
    x = 46,595.59/234.63
  6. Step 6: Final answer
    x = 198.59

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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.