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Finding the Fourth Proportional to 234.08, 351.12 and 71.78

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Solution

The fourth proportional to 234.08, 351.12 and 71.78 is: 107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.08 : 351.12 = 71.78 : x
  2. Step 2: Convert to fraction form
    234.08/351.12 = 71.78/x
  3. Step 3: Cross multiply
    234.08x = 351.12 × 71.78
  4. Step 4: Simplify right side
    234.08x = 25,203.39
  5. Step 5: Solve for x
    x = 25,203.39/234.08
  6. Step 6: Final answer
    x = 107.67

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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.