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Finding the Fourth Proportional to 326.00, 449.86 and 195.02

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Solution

The fourth proportional to 326.00, 449.86 and 195.02 is: 269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.00 : 449.86 = 195.02 : x
  2. Step 2: Convert to fraction form
    326.00/449.86 = 195.02/x
  3. Step 3: Cross multiply
    326.00x = 449.86 × 195.02
  4. Step 4: Simplify right side
    326.00x = 87,728.96
  5. Step 5: Solve for x
    x = 87,728.96/326.00
  6. Step 6: Final answer
    x = 269.11

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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.