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Finding the Fourth Proportional to 223.31, 335.10 and 162.29

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Solution

The fourth proportional to 223.31, 335.10 and 162.29 is: 243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.31 : 335.10 = 162.29 : x
  2. Step 2: Convert to fraction form
    223.31/335.10 = 162.29/x
  3. Step 3: Cross multiply
    223.31x = 335.10 × 162.29
  4. Step 4: Simplify right side
    223.31x = 54,381.70
  5. Step 5: Solve for x
    x = 54,381.70/223.31
  6. Step 6: Final answer
    x = 243.53

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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.