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Finding the Fourth Proportional to 361.42, 542.14 and 199.42

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Solution

The fourth proportional to 361.42, 542.14 and 199.42 is: 299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.42 : 542.14 = 199.42 : x
  2. Step 2: Convert to fraction form
    361.42/542.14 = 199.42/x
  3. Step 3: Cross multiply
    361.42x = 542.14 × 199.42
  4. Step 4: Simplify right side
    361.42x = 108,111.70
  5. Step 5: Solve for x
    x = 108,111.70/361.42
  6. Step 6: Final answer
    x = 299.13

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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.