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Finding the Fourth Proportional to 248.12, 342.56 and 161

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Solution

The fourth proportional to 248.12, 342.56 and 161 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.12 : 342.56 = 161 : x
  2. Step 2: Convert to fraction form
    248.12/342.56 = 161/x
  3. Step 3: Cross multiply
    248.12x = 342.56 × 161
  4. Step 4: Simplify right side
    248.12x = 55,152.16
  5. Step 5: Solve for x
    x = 55,152.16/248.12
  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.