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Finding the Fourth Proportional to 326.06, 450.01 and 195.14

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Solution

The fourth proportional to 326.06, 450.01 and 195.14 is: 269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.06 : 450.01 = 195.14 : x
  2. Step 2: Convert to fraction form
    326.06/450.01 = 195.14/x
  3. Step 3: Cross multiply
    326.06x = 450.01 × 195.14
  4. Step 4: Simplify right side
    326.06x = 87,814.95
  5. Step 5: Solve for x
    x = 87,814.95/326.06
  6. Step 6: Final answer
    x = 269.32

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Why These Related Problems?

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