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Finding the Fourth Proportional to 223.57, 335.24 and 77.30

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Solution

The fourth proportional to 223.57, 335.24 and 77.30 is: 115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.57 : 335.24 = 77.30 : x
  2. Step 2: Convert to fraction form
    223.57/335.24 = 77.30/x
  3. Step 3: Cross multiply
    223.57x = 335.24 × 77.30
  4. Step 4: Simplify right side
    223.57x = 25,914.05
  5. Step 5: Solve for x
    x = 25,914.05/223.57
  6. Step 6: Final answer
    x = 115.91

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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.