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Finding the Fourth Proportional to 363.97, 546.03 and 120.50

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Solution

The fourth proportional to 363.97, 546.03 and 120.50 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.97 : 546.03 = 120.50 : x
  2. Step 2: Convert to fraction form
    363.97/546.03 = 120.50/x
  3. Step 3: Cross multiply
    363.97x = 546.03 × 120.50
  4. Step 4: Simplify right side
    363.97x = 65,796.62
  5. Step 5: Solve for x
    x = 65,796.62/363.97
  6. Step 6: Final answer
    x = 180.77

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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.