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Finding the Fourth Proportional to 248.85, 343.23 and 161.43

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Solution

The fourth proportional to 248.85, 343.23 and 161.43 is: 222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.85 : 343.23 = 161.43 : x
  2. Step 2: Convert to fraction form
    248.85/343.23 = 161.43/x
  3. Step 3: Cross multiply
    248.85x = 343.23 × 161.43
  4. Step 4: Simplify right side
    248.85x = 55,407.62
  5. Step 5: Solve for x
    x = 55,407.62/248.85
  6. Step 6: Final answer
    x = 222.65

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