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Finding the Fourth Proportional to 361.14, 541.50 and 144.48

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Solution

The fourth proportional to 361.14, 541.50 and 144.48 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.14 : 541.50 = 144.48 : x
  2. Step 2: Convert to fraction form
    361.14/541.50 = 144.48/x
  3. Step 3: Cross multiply
    361.14x = 541.50 × 144.48
  4. Step 4: Simplify right side
    361.14x = 78,235.92
  5. Step 5: Solve for x
    x = 78,235.92/361.14
  6. Step 6: Final answer
    x = 216.64

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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.