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Finding the Fourth Proportional to 248.02, 371.91 and 196.54

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Solution

The fourth proportional to 248.02, 371.91 and 196.54 is: 294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.02 : 371.91 = 196.54 : x
  2. Step 2: Convert to fraction form
    248.02/371.91 = 196.54/x
  3. Step 3: Cross multiply
    248.02x = 371.91 × 196.54
  4. Step 4: Simplify right side
    248.02x = 73,095.19
  5. Step 5: Solve for x
    x = 73,095.19/248.02
  6. Step 6: Final answer
    x = 294.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.