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Finding the Fourth Proportional to 307.67, 462.26 and 198.02

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Solution

The fourth proportional to 307.67, 462.26 and 198.02 is: 297.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 462.26 = 198.02 : x
  2. Step 2: Convert to fraction form
    307.67/462.26 = 198.02/x
  3. Step 3: Cross multiply
    307.67x = 462.26 × 198.02
  4. Step 4: Simplify right side
    307.67x = 91,538.38
  5. Step 5: Solve for x
    x = 91,538.38/307.67
  6. Step 6: Final answer
    x = 297.53

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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.