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Finding the Fourth Proportional to 234.14, 351.28 and 71.82

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Solution

The fourth proportional to 234.14, 351.28 and 71.82 is: 107.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 351.28 = 71.82 : x
  2. Step 2: Convert to fraction form
    234.14/351.28 = 71.82/x
  3. Step 3: Cross multiply
    234.14x = 351.28 × 71.82
  4. Step 4: Simplify right side
    234.14x = 25,228.93
  5. Step 5: Solve for x
    x = 25,228.93/234.14
  6. Step 6: Final answer
    x = 107.75

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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.