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Finding the Fourth Proportional to 161.46, 222.61 and 119.99

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Solution

The fourth proportional to 161.46, 222.61 and 119.99 is: 165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 222.61 = 119.99 : x
  2. Step 2: Convert to fraction form
    161.46/222.61 = 119.99/x
  3. Step 3: Cross multiply
    161.46x = 222.61 × 119.99
  4. Step 4: Simplify right side
    161.46x = 26,710.97
  5. Step 5: Solve for x
    x = 26,710.97/161.46
  6. Step 6: Final answer
    x = 165.43

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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.