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Finding the Fourth Proportional to 224.28, 309.10 and 220.33

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Solution

The fourth proportional to 224.28, 309.10 and 220.33 is: 303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 309.10 = 220.33 : x
  2. Step 2: Convert to fraction form
    224.28/309.10 = 220.33/x
  3. Step 3: Cross multiply
    224.28x = 309.10 × 220.33
  4. Step 4: Simplify right side
    224.28x = 68,104.00
  5. Step 5: Solve for x
    x = 68,104.00/224.28
  6. Step 6: Final answer
    x = 303.66

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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.