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Finding the Fourth Proportional to 296.44, 445.16 and 199.24

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Solution

The fourth proportional to 296.44, 445.16 and 199.24 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 445.16 = 199.24 : x
  2. Step 2: Convert to fraction form
    296.44/445.16 = 199.24/x
  3. Step 3: Cross multiply
    296.44x = 445.16 × 199.24
  4. Step 4: Simplify right side
    296.44x = 88,693.68
  5. Step 5: Solve for x
    x = 88,693.68/296.44
  6. Step 6: Final answer
    x = 299.20

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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.