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Finding the Fourth Proportional to 325.75, 449.60 and 193.00

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Solution

The fourth proportional to 325.75, 449.60 and 193.00 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.75 : 449.60 = 193.00 : x
  2. Step 2: Convert to fraction form
    325.75/449.60 = 193.00/x
  3. Step 3: Cross multiply
    325.75x = 449.60 × 193.00
  4. Step 4: Simplify right side
    325.75x = 86,770.71
  5. Step 5: Solve for x
    x = 86,770.71/325.75
  6. Step 6: Final answer
    x = 266.37

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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.