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Finding the Fourth Proportional to 221.88, 307.49 and 219.24

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Solution

The fourth proportional to 221.88, 307.49 and 219.24 is: 303.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.88 : 307.49 = 219.24 : x
  2. Step 2: Convert to fraction form
    221.88/307.49 = 219.24/x
  3. Step 3: Cross multiply
    221.88x = 307.49 × 219.24
  4. Step 4: Simplify right side
    221.88x = 67,414.11
  5. Step 5: Solve for x
    x = 67,414.11/221.88
  6. Step 6: Final answer
    x = 303.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.