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Finding the Fourth Proportional to 361.57, 541.14 and 224.14

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Solution

The fourth proportional to 361.57, 541.14 and 224.14 is: 335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.57 : 541.14 = 224.14 : x
  2. Step 2: Convert to fraction form
    361.57/541.14 = 224.14/x
  3. Step 3: Cross multiply
    361.57x = 541.14 × 224.14
  4. Step 4: Simplify right side
    361.57x = 121,291.12
  5. Step 5: Solve for x
    x = 121,291.12/361.57
  6. Step 6: Final answer
    x = 335.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.