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Finding the Fourth Proportional to 236.26, 353.86 and 114.31

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Solution

The fourth proportional to 236.26, 353.86 and 114.31 is: 171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.26 : 353.86 = 114.31 : x
  2. Step 2: Convert to fraction form
    236.26/353.86 = 114.31/x
  3. Step 3: Cross multiply
    236.26x = 353.86 × 114.31
  4. Step 4: Simplify right side
    236.26x = 40,447.97
  5. Step 5: Solve for x
    x = 40,447.97/236.26
  6. Step 6: Final answer
    x = 171.20

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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.