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Finding the Fourth Proportional to 224.33, 309.83 and 189.54

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Solution

The fourth proportional to 224.33, 309.83 and 189.54 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 309.83 = 189.54 : x
  2. Step 2: Convert to fraction form
    224.33/309.83 = 189.54/x
  3. Step 3: Cross multiply
    224.33x = 309.83 × 189.54
  4. Step 4: Simplify right side
    224.33x = 58,724.23
  5. Step 5: Solve for x
    x = 58,724.23/224.33
  6. Step 6: Final answer
    x = 261.78

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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.