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Finding the Fourth Proportional to 297.04, 444.64 and 199.54

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Solution

The fourth proportional to 297.04, 444.64 and 199.54 is: 298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.04 : 444.64 = 199.54 : x
  2. Step 2: Convert to fraction form
    297.04/444.64 = 199.54/x
  3. Step 3: Cross multiply
    297.04x = 444.64 × 199.54
  4. Step 4: Simplify right side
    297.04x = 88,723.47
  5. Step 5: Solve for x
    x = 88,723.47/297.04
  6. Step 6: Final answer
    x = 298.69

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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.