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Finding the Fourth Proportional to 221.28, 305.40 and 138.42

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Solution

The fourth proportional to 221.28, 305.40 and 138.42 is: 191.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.28 : 305.40 = 138.42 : x
  2. Step 2: Convert to fraction form
    221.28/305.40 = 138.42/x
  3. Step 3: Cross multiply
    221.28x = 305.40 × 138.42
  4. Step 4: Simplify right side
    221.28x = 42,273.47
  5. Step 5: Solve for x
    x = 42,273.47/221.28
  6. Step 6: Final answer
    x = 191.04

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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.