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Finding the Fourth Proportional to 323.99, 447.10 and 193.00

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Solution

The fourth proportional to 323.99, 447.10 and 193.00 is: 266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.99 : 447.10 = 193.00 : x
  2. Step 2: Convert to fraction form
    323.99/447.10 = 193.00/x
  3. Step 3: Cross multiply
    323.99x = 447.10 × 193.00
  4. Step 4: Simplify right side
    323.99x = 86,288.06
  5. Step 5: Solve for x
    x = 86,288.06/323.99
  6. Step 6: Final answer
    x = 266.33

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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.