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Finding the Fourth Proportional to 223.48, 335.34 and 115.48

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Solution

The fourth proportional to 223.48, 335.34 and 115.48 is: 173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.48 : 335.34 = 115.48 : x
  2. Step 2: Convert to fraction form
    223.48/335.34 = 115.48/x
  3. Step 3: Cross multiply
    223.48x = 335.34 × 115.48
  4. Step 4: Simplify right side
    223.48x = 38,725.06
  5. Step 5: Solve for x
    x = 38,725.06/223.48
  6. Step 6: Final answer
    x = 173.28

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