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Finding the Fourth Proportional to 307.41, 424.22 and 169.41

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Solution

The fourth proportional to 307.41, 424.22 and 169.41 is: 233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.41 : 424.22 = 169.41 : x
  2. Step 2: Convert to fraction form
    307.41/424.22 = 169.41/x
  3. Step 3: Cross multiply
    307.41x = 424.22 × 169.41
  4. Step 4: Simplify right side
    307.41x = 71,865.94
  5. Step 5: Solve for x
    x = 71,865.94/307.41
  6. Step 6: Final answer
    x = 233.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.