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Finding the Fourth Proportional to 215.74, 298 and 196.26

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Solution

The fourth proportional to 215.74, 298 and 196.26 is: 271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.74 : 298 = 196.26 : x
  2. Step 2: Convert to fraction form
    215.74/298 = 196.26/x
  3. Step 3: Cross multiply
    215.74x = 298 × 196.26
  4. Step 4: Simplify right side
    215.74x = 58,485.48
  5. Step 5: Solve for x
    x = 58,485.48/215.74
  6. Step 6: Final answer
    x = 271.09

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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.