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Finding the Fourth Proportional to 161.09, 222.65 and 142.13

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Solution

The fourth proportional to 161.09, 222.65 and 142.13 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.09 : 222.65 = 142.13 : x
  2. Step 2: Convert to fraction form
    161.09/222.65 = 142.13/x
  3. Step 3: Cross multiply
    161.09x = 222.65 × 142.13
  4. Step 4: Simplify right side
    161.09x = 31,644.53
  5. Step 5: Solve for x
    x = 31,644.53/161.09
  6. Step 6: Final answer
    x = 196.44

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Why These Related Problems?

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