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Finding the Fourth Proportional to 261.91, 361.56 and 163.81

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Solution

The fourth proportional to 261.91, 361.56 and 163.81 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.91 : 361.56 = 163.81 : x
  2. Step 2: Convert to fraction form
    261.91/361.56 = 163.81/x
  3. Step 3: Cross multiply
    261.91x = 361.56 × 163.81
  4. Step 4: Simplify right side
    261.91x = 59,227.14
  5. Step 5: Solve for x
    x = 59,227.14/261.91
  6. Step 6: Final answer
    x = 226.14

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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.