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Finding the Fourth Proportional to 361.96, 542.40 and 199.16

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Solution

The fourth proportional to 361.96, 542.40 and 199.16 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.96 : 542.40 = 199.16 : x
  2. Step 2: Convert to fraction form
    361.96/542.40 = 199.16/x
  3. Step 3: Cross multiply
    361.96x = 542.40 × 199.16
  4. Step 4: Simplify right side
    361.96x = 108,024.38
  5. Step 5: Solve for x
    x = 108,024.38/361.96
  6. Step 6: Final answer
    x = 298.44

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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.