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Finding the Fourth Proportional to 234.72, 351.34 and 131.76

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Solution

The fourth proportional to 234.72, 351.34 and 131.76 is: 197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.72 : 351.34 = 131.76 : x
  2. Step 2: Convert to fraction form
    234.72/351.34 = 131.76/x
  3. Step 3: Cross multiply
    234.72x = 351.34 × 131.76
  4. Step 4: Simplify right side
    234.72x = 46,292.56
  5. Step 5: Solve for x
    x = 46,292.56/234.72
  6. Step 6: Final answer
    x = 197.22

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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.