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Finding the Fourth Proportional to 323.99, 486.06 and 107.57

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Solution

The fourth proportional to 323.99, 486.06 and 107.57 is: 161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 486.06 = 107.57 : x
  2. Step 2: Convert to fraction form
    323.99/486.06 = 107.57/x
  3. Step 3: Cross multiply
    323.99x = 486.06 × 107.57
  4. Step 4: Simplify right side
    323.99x = 52,285.47
  5. Step 5: Solve for x
    x = 52,285.47/323.99
  6. Step 6: Final answer
    x = 161.38

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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.