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Finding the Fourth Proportional to 220.72, 304.20 and 200.92

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Solution

The fourth proportional to 220.72, 304.20 and 200.92 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.72 : 304.20 = 200.92 : x
  2. Step 2: Convert to fraction form
    220.72/304.20 = 200.92/x
  3. Step 3: Cross multiply
    220.72x = 304.20 × 200.92
  4. Step 4: Simplify right side
    220.72x = 61,119.86
  5. Step 5: Solve for x
    x = 61,119.86/220.72
  6. Step 6: Final answer
    x = 276.91

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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.