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Finding the Fourth Proportional to 223.70, 335.68 and 180.25

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Solution

The fourth proportional to 223.70, 335.68 and 180.25 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 335.68 = 180.25 : x
  2. Step 2: Convert to fraction form
    223.70/335.68 = 180.25/x
  3. Step 3: Cross multiply
    223.70x = 335.68 × 180.25
  4. Step 4: Simplify right side
    223.70x = 60,505.03
  5. Step 5: Solve for x
    x = 60,505.03/223.70
  6. Step 6: Final answer
    x = 270.48

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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.