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Finding the Fourth Proportional to 363.98, 546.06 and 120.57

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Solution

The fourth proportional to 363.98, 546.06 and 120.57 is: 180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.98 : 546.06 = 120.57 : x
  2. Step 2: Convert to fraction form
    363.98/546.06 = 120.57/x
  3. Step 3: Cross multiply
    363.98x = 546.06 × 120.57
  4. Step 4: Simplify right side
    363.98x = 65,838.45
  5. Step 5: Solve for x
    x = 65,838.45/363.98
  6. Step 6: Final answer
    x = 180.89

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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.