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Finding the Fourth Proportional to 248.80, 343.29 and 161.44

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Solution

The fourth proportional to 248.80, 343.29 and 161.44 is: 222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.80 : 343.29 = 161.44 : x
  2. Step 2: Convert to fraction form
    248.80/343.29 = 161.44/x
  3. Step 3: Cross multiply
    248.80x = 343.29 × 161.44
  4. Step 4: Simplify right side
    248.80x = 55,420.74
  5. Step 5: Solve for x
    x = 55,420.74/248.80
  6. Step 6: Final answer
    x = 222.75

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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.