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Finding the Fourth Proportional to 234.51, 351.78 and 80.43

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Solution

The fourth proportional to 234.51, 351.78 and 80.43 is: 120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.51 : 351.78 = 80.43 : x
  2. Step 2: Convert to fraction form
    234.51/351.78 = 80.43/x
  3. Step 3: Cross multiply
    234.51x = 351.78 × 80.43
  4. Step 4: Simplify right side
    234.51x = 28,293.67
  5. Step 5: Solve for x
    x = 28,293.67/234.51
  6. Step 6: Final answer
    x = 120.65

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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.