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Finding the Fourth Proportional to 363.99, 546.04 and 120.49

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Solution

The fourth proportional to 363.99, 546.04 and 120.49 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.99 : 546.04 = 120.49 : x
  2. Step 2: Convert to fraction form
    363.99/546.04 = 120.49/x
  3. Step 3: Cross multiply
    363.99x = 546.04 × 120.49
  4. Step 4: Simplify right side
    363.99x = 65,791.15
  5. Step 5: Solve for x
    x = 65,791.15/363.99
  6. Step 6: Final answer
    x = 180.75

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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.