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Finding the Fourth Proportional to 221.28, 333.24 and 194.52

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Solution

The fourth proportional to 221.28, 333.24 and 194.52 is: 292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 333.24 = 194.52 : x
  2. Step 2: Convert to fraction form
    221.28/333.24 = 194.52/x
  3. Step 3: Cross multiply
    221.28x = 333.24 × 194.52
  4. Step 4: Simplify right side
    221.28x = 64,821.84
  5. Step 5: Solve for x
    x = 64,821.84/221.28
  6. Step 6: Final answer
    x = 292.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.