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Finding the Fourth Proportional to 325.01, 448.58 and 194.09

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Solution

The fourth proportional to 325.01, 448.58 and 194.09 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.01 : 448.58 = 194.09 : x
  2. Step 2: Convert to fraction form
    325.01/448.58 = 194.09/x
  3. Step 3: Cross multiply
    325.01x = 448.58 × 194.09
  4. Step 4: Simplify right side
    325.01x = 87,063.13
  5. Step 5: Solve for x
    x = 87,063.13/325.01
  6. Step 6: Final answer
    x = 267.88

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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.