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Finding the Fourth Proportional to 372.45, 558.75 and 199.18

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Solution

The fourth proportional to 372.45, 558.75 and 199.18 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.45 : 558.75 = 199.18 : x
  2. Step 2: Convert to fraction form
    372.45/558.75 = 199.18/x
  3. Step 3: Cross multiply
    372.45x = 558.75 × 199.18
  4. Step 4: Simplify right side
    372.45x = 111,293.72
  5. Step 5: Solve for x
    x = 111,293.72/372.45
  6. Step 6: Final answer
    x = 298.82

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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.