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Finding the Fourth Proportional to 296.95, 445.21 and 199.33

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Solution

The fourth proportional to 296.95, 445.21 and 199.33 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.95 : 445.21 = 199.33 : x
  2. Step 2: Convert to fraction form
    296.95/445.21 = 199.33/x
  3. Step 3: Cross multiply
    296.95x = 445.21 × 199.33
  4. Step 4: Simplify right side
    296.95x = 88,743.71
  5. Step 5: Solve for x
    x = 88,743.71/296.95
  6. Step 6: Final answer
    x = 298.85

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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.