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Finding the Fourth Proportional to 261.89, 361.71 and 163.73

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Solution

The fourth proportional to 261.89, 361.71 and 163.73 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.89 : 361.71 = 163.73 : x
  2. Step 2: Convert to fraction form
    261.89/361.71 = 163.73/x
  3. Step 3: Cross multiply
    261.89x = 361.71 × 163.73
  4. Step 4: Simplify right side
    261.89x = 59,221.96
  5. Step 5: Solve for x
    x = 59,221.96/261.89
  6. Step 6: Final answer
    x = 226.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.