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Finding the Fourth Proportional to 219.43, 302.78 and 161.35

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Solution

The fourth proportional to 219.43, 302.78 and 161.35 is: 222.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.43 : 302.78 = 161.35 : x
  2. Step 2: Convert to fraction form
    219.43/302.78 = 161.35/x
  3. Step 3: Cross multiply
    219.43x = 302.78 × 161.35
  4. Step 4: Simplify right side
    219.43x = 48,852.75
  5. Step 5: Solve for x
    x = 48,852.75/219.43
  6. Step 6: Final answer
    x = 222.63

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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.