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Finding the Fourth Proportional to 235.03, 324.04 and 161.22

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Solution

The fourth proportional to 235.03, 324.04 and 161.22 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.03 : 324.04 = 161.22 : x
  2. Step 2: Convert to fraction form
    235.03/324.04 = 161.22/x
  3. Step 3: Cross multiply
    235.03x = 324.04 × 161.22
  4. Step 4: Simplify right side
    235.03x = 52,241.73
  5. Step 5: Solve for x
    x = 52,241.73/235.03
  6. Step 6: Final answer
    x = 222.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.