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Finding the Fourth Proportional to 361.66, 542.73 and 199.47

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Solution

The fourth proportional to 361.66, 542.73 and 199.47 is: 299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.66 : 542.73 = 199.47 : x
  2. Step 2: Convert to fraction form
    361.66/542.73 = 199.47/x
  3. Step 3: Cross multiply
    361.66x = 542.73 × 199.47
  4. Step 4: Simplify right side
    361.66x = 108,258.35
  5. Step 5: Solve for x
    x = 108,258.35/361.66
  6. Step 6: Final answer
    x = 299.34

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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.