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Finding the Fourth Proportional to 161.46, 222.96 and 132.54

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Solution

The fourth proportional to 161.46, 222.96 and 132.54 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.96 = 132.54 : x
  2. Step 2: Convert to fraction form
    161.46/222.96 = 132.54/x
  3. Step 3: Cross multiply
    161.46x = 222.96 × 132.54
  4. Step 4: Simplify right side
    161.46x = 29,551.12
  5. Step 5: Solve for x
    x = 29,551.12/161.46
  6. Step 6: Final answer
    x = 183.02

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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.