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Finding the Fourth Proportional to 248.27, 342.97 and 196.16

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Solution

The fourth proportional to 248.27, 342.97 and 196.16 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.27 : 342.97 = 196.16 : x
  2. Step 2: Convert to fraction form
    248.27/342.97 = 196.16/x
  3. Step 3: Cross multiply
    248.27x = 342.97 × 196.16
  4. Step 4: Simplify right side
    248.27x = 67,274.79
  5. Step 5: Solve for x
    x = 67,274.79/248.27
  6. Step 6: Final answer
    x = 270.98

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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.