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Finding the Fourth Proportional to 361.94, 542.86 and 142.41

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Solution

The fourth proportional to 361.94, 542.86 and 142.41 is: 213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.94 : 542.86 = 142.41 : x
  2. Step 2: Convert to fraction form
    361.94/542.86 = 142.41/x
  3. Step 3: Cross multiply
    361.94x = 542.86 × 142.41
  4. Step 4: Simplify right side
    361.94x = 77,308.69
  5. Step 5: Solve for x
    x = 77,308.69/361.94
  6. Step 6: Final answer
    x = 213.60

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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.