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Finding the Fourth Proportional to 307.88, 462.56 and 198.41

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Solution

The fourth proportional to 307.88, 462.56 and 198.41 is: 298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.88 : 462.56 = 198.41 : x
  2. Step 2: Convert to fraction form
    307.88/462.56 = 198.41/x
  3. Step 3: Cross multiply
    307.88x = 462.56 × 198.41
  4. Step 4: Simplify right side
    307.88x = 91,773.22
  5. Step 5: Solve for x
    x = 91,773.22/307.88
  6. Step 6: Final answer
    x = 298.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.