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Finding the Fourth Proportional to 550.96, 826.44 and 140.13

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Solution

The fourth proportional to 550.96, 826.44 and 140.13 is: 210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.96 : 826.44 = 140.13 : x
  2. Step 2: Convert to fraction form
    550.96/826.44 = 140.13/x
  3. Step 3: Cross multiply
    550.96x = 826.44 × 140.13
  4. Step 4: Simplify right side
    550.96x = 115,806.97
  5. Step 5: Solve for x
    x = 115,806.97/550.96
  6. Step 6: Final answer
    x = 210.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.