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Finding the Fourth Proportional to 325.68, 449.46 and 194.80

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Solution

The fourth proportional to 325.68, 449.46 and 194.80 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.68 : 449.46 = 194.80 : x
  2. Step 2: Convert to fraction form
    325.68/449.46 = 194.80/x
  3. Step 3: Cross multiply
    325.68x = 449.46 × 194.80
  4. Step 4: Simplify right side
    325.68x = 87,554.81
  5. Step 5: Solve for x
    x = 87,554.81/325.68
  6. Step 6: Final answer
    x = 268.84

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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.