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Finding the Fourth Proportional to 307.44, 461.17 and 133.99

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Solution

The fourth proportional to 307.44, 461.17 and 133.99 is: 200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 461.17 = 133.99 : x
  2. Step 2: Convert to fraction form
    307.44/461.17 = 133.99/x
  3. Step 3: Cross multiply
    307.44x = 461.17 × 133.99
  4. Step 4: Simplify right side
    307.44x = 61,790.68
  5. Step 5: Solve for x
    x = 61,790.68/307.44
  6. Step 6: Final answer
    x = 200.98

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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.