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Finding the Fourth Proportional to 248.81, 371.52 and 196.87

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Solution

The fourth proportional to 248.81, 371.52 and 196.87 is: 293.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.81 : 371.52 = 196.87 : x
  2. Step 2: Convert to fraction form
    248.81/371.52 = 196.87/x
  3. Step 3: Cross multiply
    248.81x = 371.52 × 196.87
  4. Step 4: Simplify right side
    248.81x = 73,141.22
  5. Step 5: Solve for x
    x = 73,141.22/248.81
  6. Step 6: Final answer
    x = 293.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.