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Finding the Fourth Proportional to 261.95, 361.44 and 196.34

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Solution

The fourth proportional to 261.95, 361.44 and 196.34 is: 270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.95 : 361.44 = 196.34 : x
  2. Step 2: Convert to fraction form
    261.95/361.44 = 196.34/x
  3. Step 3: Cross multiply
    261.95x = 361.44 × 196.34
  4. Step 4: Simplify right side
    261.95x = 70,963.32
  5. Step 5: Solve for x
    x = 70,963.32/261.95
  6. Step 6: Final answer
    x = 270.91

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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.