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Finding the Fourth Proportional to 248.70, 343.13 and 161.42

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Solution

The fourth proportional to 248.70, 343.13 and 161.42 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.70 : 343.13 = 161.42 : x
  2. Step 2: Convert to fraction form
    248.70/343.13 = 161.42/x
  3. Step 3: Cross multiply
    248.70x = 343.13 × 161.42
  4. Step 4: Simplify right side
    248.70x = 55,388.10
  5. Step 5: Solve for x
    x = 55,388.10/248.70
  6. Step 6: Final answer
    x = 222.71

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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.