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Finding the Fourth Proportional to 163.20, 224.94 and 132

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Solution

The fourth proportional to 163.20, 224.94 and 132 is: 181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.20 : 224.94 = 132 : x
  2. Step 2: Convert to fraction form
    163.20/224.94 = 132/x
  3. Step 3: Cross multiply
    163.20x = 224.94 × 132
  4. Step 4: Simplify right side
    163.20x = 29,692.08
  5. Step 5: Solve for x
    x = 29,692.08/163.20
  6. Step 6: Final answer
    x = 181.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.