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Finding the Fourth Proportional to 224.33, 335.97 and 194.67

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Solution

The fourth proportional to 224.33, 335.97 and 194.67 is: 291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 335.97 = 194.67 : x
  2. Step 2: Convert to fraction form
    224.33/335.97 = 194.67/x
  3. Step 3: Cross multiply
    224.33x = 335.97 × 194.67
  4. Step 4: Simplify right side
    224.33x = 65,403.28
  5. Step 5: Solve for x
    x = 65,403.28/224.33
  6. Step 6: Final answer
    x = 291.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.