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Finding the Fourth Proportional to 236.34, 354.56 and 82.26

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Solution

The fourth proportional to 236.34, 354.56 and 82.26 is: 123.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.34 : 354.56 = 82.26 : x
  2. Step 2: Convert to fraction form
    236.34/354.56 = 82.26/x
  3. Step 3: Cross multiply
    236.34x = 354.56 × 82.26
  4. Step 4: Simplify right side
    236.34x = 29,165.69
  5. Step 5: Solve for x
    x = 29,165.69/236.34
  6. Step 6: Final answer
    x = 123.41

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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.