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Finding the Fourth Proportional to 220.13, 303.59 and 161.33

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Solution

The fourth proportional to 220.13, 303.59 and 161.33 is: 222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 303.59 = 161.33 : x
  2. Step 2: Convert to fraction form
    220.13/303.59 = 161.33/x
  3. Step 3: Cross multiply
    220.13x = 303.59 × 161.33
  4. Step 4: Simplify right side
    220.13x = 48,979.34
  5. Step 5: Solve for x
    x = 48,979.34/220.13
  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.