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Finding the Fourth Proportional to 261.97, 361.25 and 183.38

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Solution

The fourth proportional to 261.97, 361.25 and 183.38 is: 252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.97 : 361.25 = 183.38 : x
  2. Step 2: Convert to fraction form
    261.97/361.25 = 183.38/x
  3. Step 3: Cross multiply
    261.97x = 361.25 × 183.38
  4. Step 4: Simplify right side
    261.97x = 66,246.03
  5. Step 5: Solve for x
    x = 66,246.03/261.97
  6. Step 6: Final answer
    x = 252.88

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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.