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Finding the Fourth Proportional to 361.54, 542.91 and 199.54

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Solution

The fourth proportional to 361.54, 542.91 and 199.54 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.54 : 542.91 = 199.54 : x
  2. Step 2: Convert to fraction form
    361.54/542.91 = 199.54/x
  3. Step 3: Cross multiply
    361.54x = 542.91 × 199.54
  4. Step 4: Simplify right side
    361.54x = 108,332.26
  5. Step 5: Solve for x
    x = 108,332.26/361.54
  6. Step 6: Final answer
    x = 299.64

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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.