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Finding the Fourth Proportional to 234.96, 352.42 and 106.71

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Solution

The fourth proportional to 234.96, 352.42 and 106.71 is: 160.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 352.42 = 106.71 : x
  2. Step 2: Convert to fraction form
    234.96/352.42 = 106.71/x
  3. Step 3: Cross multiply
    234.96x = 352.42 × 106.71
  4. Step 4: Simplify right side
    234.96x = 37,606.74
  5. Step 5: Solve for x
    x = 37,606.74/234.96
  6. Step 6: Final answer
    x = 160.06

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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.