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Finding the Fourth Proportional to 372.80, 558.48 and 199.41

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Solution

The fourth proportional to 372.80, 558.48 and 199.41 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 558.48 = 199.41 : x
  2. Step 2: Convert to fraction form
    372.80/558.48 = 199.41/x
  3. Step 3: Cross multiply
    372.80x = 558.48 × 199.41
  4. Step 4: Simplify right side
    372.80x = 111,366.50
  5. Step 5: Solve for x
    x = 111,366.50/372.80
  6. Step 6: Final answer
    x = 298.73

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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.