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Finding the Fourth Proportional to 236.14, 354.26 and 82.19

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Solution

The fourth proportional to 236.14, 354.26 and 82.19 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 354.26 = 82.19 : x
  2. Step 2: Convert to fraction form
    236.14/354.26 = 82.19/x
  3. Step 3: Cross multiply
    236.14x = 354.26 × 82.19
  4. Step 4: Simplify right side
    236.14x = 29,117.72
  5. Step 5: Solve for x
    x = 29,117.72/236.14
  6. Step 6: Final answer
    x = 123.31

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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.