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Finding the Fourth Proportional to 221.28, 304.92 and 199.20

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Solution

The fourth proportional to 221.28, 304.92 and 199.20 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 304.92 = 199.20 : x
  2. Step 2: Convert to fraction form
    221.28/304.92 = 199.20/x
  3. Step 3: Cross multiply
    221.28x = 304.92 × 199.20
  4. Step 4: Simplify right side
    221.28x = 60,740.06
  5. Step 5: Solve for x
    x = 60,740.06/221.28
  6. Step 6: Final answer
    x = 274.49

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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.