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Finding the Fourth Proportional to 234.52, 351.24 and 182.74

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Solution

The fourth proportional to 234.52, 351.24 and 182.74 is: 273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 351.24 = 182.74 : x
  2. Step 2: Convert to fraction form
    234.52/351.24 = 182.74/x
  3. Step 3: Cross multiply
    234.52x = 351.24 × 182.74
  4. Step 4: Simplify right side
    234.52x = 64,185.60
  5. Step 5: Solve for x
    x = 64,185.60/234.52
  6. Step 6: Final answer
    x = 273.69

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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.