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Finding the Fourth Proportional to 219.72, 302.78 and 205.44

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Solution

The fourth proportional to 219.72, 302.78 and 205.44 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.72 : 302.78 = 205.44 : x
  2. Step 2: Convert to fraction form
    219.72/302.78 = 205.44/x
  3. Step 3: Cross multiply
    219.72x = 302.78 × 205.44
  4. Step 4: Simplify right side
    219.72x = 62,202.10
  5. Step 5: Solve for x
    x = 62,202.10/219.72
  6. Step 6: Final answer
    x = 283.10

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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.