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Finding the Fourth Proportional to 361.85, 542.69 and 142.48

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Solution

The fourth proportional to 361.85, 542.69 and 142.48 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.85 : 542.69 = 142.48 : x
  2. Step 2: Convert to fraction form
    361.85/542.69 = 142.48/x
  3. Step 3: Cross multiply
    361.85x = 542.69 × 142.48
  4. Step 4: Simplify right side
    361.85x = 77,322.47
  5. Step 5: Solve for x
    x = 77,322.47/361.85
  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.