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Finding the Fourth Proportional to 234.57, 351.84 and 80.57

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Solution

The fourth proportional to 234.57, 351.84 and 80.57 is: 120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.57 : 351.84 = 80.57 : x
  2. Step 2: Convert to fraction form
    234.57/351.84 = 80.57/x
  3. Step 3: Cross multiply
    234.57x = 351.84 × 80.57
  4. Step 4: Simplify right side
    234.57x = 28,347.75
  5. Step 5: Solve for x
    x = 28,347.75/234.57
  6. Step 6: Final answer
    x = 120.85

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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.