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Finding the Fourth Proportional to 553.21, 829.83 and 163.22

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Solution

The fourth proportional to 553.21, 829.83 and 163.22 is: 244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.21 : 829.83 = 163.22 : x
  2. Step 2: Convert to fraction form
    553.21/829.83 = 163.22/x
  3. Step 3: Cross multiply
    553.21x = 829.83 × 163.22
  4. Step 4: Simplify right side
    553.21x = 135,440.40
  5. Step 5: Solve for x
    x = 135,440.40/553.21
  6. Step 6: Final answer
    x = 244.82

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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.