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Finding the Fourth Proportional to 234.57, 351.87 and 80.49

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Solution

The fourth proportional to 234.57, 351.87 and 80.49 is: 120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 351.87 = 80.49 : x
  2. Step 2: Convert to fraction form
    234.57/351.87 = 80.49/x
  3. Step 3: Cross multiply
    234.57x = 351.87 × 80.49
  4. Step 4: Simplify right side
    234.57x = 28,322.02
  5. Step 5: Solve for x
    x = 28,322.02/234.57
  6. Step 6: Final answer
    x = 120.74

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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.