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Finding the Fourth Proportional to 361.82, 542.77 and 142.45

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Solution

The fourth proportional to 361.82, 542.77 and 142.45 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 542.77 = 142.45 : x
  2. Step 2: Convert to fraction form
    361.82/542.77 = 142.45/x
  3. Step 3: Cross multiply
    361.82x = 542.77 × 142.45
  4. Step 4: Simplify right side
    361.82x = 77,315.87
  5. Step 5: Solve for x
    x = 77,315.87/361.82
  6. Step 6: Final answer
    x = 213.69

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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.