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Finding the Fourth Proportional to 248.37, 342.82 and 161.04

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Solution

The fourth proportional to 248.37, 342.82 and 161.04 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.37 : 342.82 = 161.04 : x
  2. Step 2: Convert to fraction form
    248.37/342.82 = 161.04/x
  3. Step 3: Cross multiply
    248.37x = 342.82 × 161.04
  4. Step 4: Simplify right side
    248.37x = 55,207.73
  5. Step 5: Solve for x
    x = 55,207.73/248.37
  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.