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Finding the Fourth Proportional to 361.28, 542.07 and 144.89

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Solution

The fourth proportional to 361.28, 542.07 and 144.89 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 542.07 = 144.89 : x
  2. Step 2: Convert to fraction form
    361.28/542.07 = 144.89/x
  3. Step 3: Cross multiply
    361.28x = 542.07 × 144.89
  4. Step 4: Simplify right side
    361.28x = 78,540.52
  5. Step 5: Solve for x
    x = 78,540.52/361.28
  6. Step 6: Final answer
    x = 217.40

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