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Finding the Fourth Proportional to 326.65, 450.69 and 195.64

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Solution

The fourth proportional to 326.65, 450.69 and 195.64 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.65 : 450.69 = 195.64 : x
  2. Step 2: Convert to fraction form
    326.65/450.69 = 195.64/x
  3. Step 3: Cross multiply
    326.65x = 450.69 × 195.64
  4. Step 4: Simplify right side
    326.65x = 88,172.99
  5. Step 5: Solve for x
    x = 88,172.99/326.65
  6. Step 6: Final answer
    x = 269.93

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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.