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Finding the Fourth Proportional to 236.82, 354.76 and 113.25

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Solution

The fourth proportional to 236.82, 354.76 and 113.25 is: 169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.82 : 354.76 = 113.25 : x
  2. Step 2: Convert to fraction form
    236.82/354.76 = 113.25/x
  3. Step 3: Cross multiply
    236.82x = 354.76 × 113.25
  4. Step 4: Simplify right side
    236.82x = 40,177.94
  5. Step 5: Solve for x
    x = 40,177.94/236.82
  6. Step 6: Final answer
    x = 169.65

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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.