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Finding the Fourth Proportional to 220.62, 304.27 and 185.73

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Solution

The fourth proportional to 220.62, 304.27 and 185.73 is: 256.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.62 : 304.27 = 185.73 : x
  2. Step 2: Convert to fraction form
    220.62/304.27 = 185.73/x
  3. Step 3: Cross multiply
    220.62x = 304.27 × 185.73
  4. Step 4: Simplify right side
    220.62x = 56,512.01
  5. Step 5: Solve for x
    x = 56,512.01/220.62
  6. Step 6: Final answer
    x = 256.15

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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.