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Finding the Fourth Proportional to 288, 397.44 and 196

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Solution

The fourth proportional to 288, 397.44 and 196 is: 270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288 : 397.44 = 196 : x
  2. Step 2: Convert to fraction form
    288/397.44 = 196/x
  3. Step 3: Cross multiply
    288x = 397.44 × 196
  4. Step 4: Simplify right side
    288x = 77,898.24
  5. Step 5: Solve for x
    x = 77,898.24/288
  6. Step 6: Final answer
    x = 270.48

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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.