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Finding the Fourth Proportional to 261.46, 361.05 and 163.24

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Solution

The fourth proportional to 261.46, 361.05 and 163.24 is: 225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.46 : 361.05 = 163.24 : x
  2. Step 2: Convert to fraction form
    261.46/361.05 = 163.24/x
  3. Step 3: Cross multiply
    261.46x = 361.05 × 163.24
  4. Step 4: Simplify right side
    261.46x = 58,937.80
  5. Step 5: Solve for x
    x = 58,937.80/261.46
  6. Step 6: Final answer
    x = 225.42

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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.