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Finding the Fourth Proportional to 325.21, 448.74 and 194.20

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Solution

The fourth proportional to 325.21, 448.74 and 194.20 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.21 : 448.74 = 194.20 : x
  2. Step 2: Convert to fraction form
    325.21/448.74 = 194.20/x
  3. Step 3: Cross multiply
    325.21x = 448.74 × 194.20
  4. Step 4: Simplify right side
    325.21x = 87,145.31
  5. Step 5: Solve for x
    x = 87,145.31/325.21
  6. Step 6: Final answer
    x = 267.97

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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.