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Finding the Fourth Proportional to 248.73, 343.40 and 161.57

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Solution

The fourth proportional to 248.73, 343.40 and 161.57 is: 223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.73 : 343.40 = 161.57 : x
  2. Step 2: Convert to fraction form
    248.73/343.40 = 161.57/x
  3. Step 3: Cross multiply
    248.73x = 343.40 × 161.57
  4. Step 4: Simplify right side
    248.73x = 55,480.61
  5. Step 5: Solve for x
    x = 55,480.61/248.73
  6. Step 6: Final answer
    x = 223.06

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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.