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Finding the Fourth Proportional to 219.69, 303.21 and 161.64

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Solution

The fourth proportional to 219.69, 303.21 and 161.64 is: 223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.69 : 303.21 = 161.64 : x
  2. Step 2: Convert to fraction form
    219.69/303.21 = 161.64/x
  3. Step 3: Cross multiply
    219.69x = 303.21 × 161.64
  4. Step 4: Simplify right side
    219.69x = 49,010.86
  5. Step 5: Solve for x
    x = 49,010.86/219.69
  6. Step 6: Final answer
    x = 223.09

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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.