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Finding the Fourth Proportional to 223.63, 335.14 and 115.20

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Solution

The fourth proportional to 223.63, 335.14 and 115.20 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 335.14 = 115.20 : x
  2. Step 2: Convert to fraction form
    223.63/335.14 = 115.20/x
  3. Step 3: Cross multiply
    223.63x = 335.14 × 115.20
  4. Step 4: Simplify right side
    223.63x = 38,608.13
  5. Step 5: Solve for x
    x = 38,608.13/223.63
  6. Step 6: Final answer
    x = 172.64

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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.