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Finding the Fourth Proportional to 224, 335.97 and 102.23

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Solution

The fourth proportional to 224, 335.97 and 102.23 is: 153.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 335.97 = 102.23 : x
  2. Step 2: Convert to fraction form
    224/335.97 = 102.23/x
  3. Step 3: Cross multiply
    224x = 335.97 × 102.23
  4. Step 4: Simplify right side
    224x = 34,346.21
  5. Step 5: Solve for x
    x = 34,346.21/224
  6. Step 6: Final answer
    x = 153.33

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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.