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Finding the Fourth Proportional to 234.64, 352.12 and 112.90

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Solution

The fourth proportional to 234.64, 352.12 and 112.90 is: 169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.64 : 352.12 = 112.90 : x
  2. Step 2: Convert to fraction form
    234.64/352.12 = 112.90/x
  3. Step 3: Cross multiply
    234.64x = 352.12 × 112.90
  4. Step 4: Simplify right side
    234.64x = 39,754.35
  5. Step 5: Solve for x
    x = 39,754.35/234.64
  6. Step 6: Final answer
    x = 169.43

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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.