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Finding the Fourth Proportional to 261.96, 361.56 and 163.68

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Solution

The fourth proportional to 261.96, 361.56 and 163.68 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.96 : 361.56 = 163.68 : x
  2. Step 2: Convert to fraction form
    261.96/361.56 = 163.68/x
  3. Step 3: Cross multiply
    261.96x = 361.56 × 163.68
  4. Step 4: Simplify right side
    261.96x = 59,180.14
  5. Step 5: Solve for x
    x = 59,180.14/261.96
  6. Step 6: Final answer
    x = 225.91

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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.