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Finding the Fourth Proportional to 161.97, 224.16 and 157.92

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Solution

The fourth proportional to 161.97, 224.16 and 157.92 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.97 : 224.16 = 157.92 : x
  2. Step 2: Convert to fraction form
    161.97/224.16 = 157.92/x
  3. Step 3: Cross multiply
    161.97x = 224.16 × 157.92
  4. Step 4: Simplify right side
    161.97x = 35,399.35
  5. Step 5: Solve for x
    x = 35,399.35/161.97
  6. Step 6: Final answer
    x = 218.55

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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.