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Finding the Fourth Proportional to 371.68, 556.81 and 198.09

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Solution

The fourth proportional to 371.68, 556.81 and 198.09 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.68 : 556.81 = 198.09 : x
  2. Step 2: Convert to fraction form
    371.68/556.81 = 198.09/x
  3. Step 3: Cross multiply
    371.68x = 556.81 × 198.09
  4. Step 4: Simplify right side
    371.68x = 110,298.00
  5. Step 5: Solve for x
    x = 110,298.00/371.68
  6. Step 6: Final answer
    x = 296.76

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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.