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Finding the Fourth Proportional to 261.97, 361.07 and 196.36

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Solution

The fourth proportional to 261.97, 361.07 and 196.36 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 361.07 = 196.36 : x
  2. Step 2: Convert to fraction form
    261.97/361.07 = 196.36/x
  3. Step 3: Cross multiply
    261.97x = 361.07 × 196.36
  4. Step 4: Simplify right side
    261.97x = 70,898.72
  5. Step 5: Solve for x
    x = 70,898.72/261.97
  6. Step 6: Final answer
    x = 270.64

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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.