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Finding the Fourth Proportional to 220.24, 303.91 and 161.25

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Solution

The fourth proportional to 220.24, 303.91 and 161.25 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 303.91 = 161.25 : x
  2. Step 2: Convert to fraction form
    220.24/303.91 = 161.25/x
  3. Step 3: Cross multiply
    220.24x = 303.91 × 161.25
  4. Step 4: Simplify right side
    220.24x = 49,005.49
  5. Step 5: Solve for x
    x = 49,005.49/220.24
  6. Step 6: Final answer
    x = 222.51

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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.