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Finding the Fourth Proportional to 826.22, 1,238.97 and 248.96

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Solution

The fourth proportional to 826.22, 1,238.97 and 248.96 is: 373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.22 : 1,238.97 = 248.96 : x
  2. Step 2: Convert to fraction form
    826.22/1,238.97 = 248.96/x
  3. Step 3: Cross multiply
    826.22x = 1,238.97 × 248.96
  4. Step 4: Simplify right side
    826.22x = 308,453.97
  5. Step 5: Solve for x
    x = 308,453.97/826.22
  6. Step 6: Final answer
    x = 373.33

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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.