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Finding the Fourth Proportional to 325.09, 448.63 and 194.07

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Solution

The fourth proportional to 325.09, 448.63 and 194.07 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.09 : 448.63 = 194.07 : x
  2. Step 2: Convert to fraction form
    325.09/448.63 = 194.07/x
  3. Step 3: Cross multiply
    325.09x = 448.63 × 194.07
  4. Step 4: Simplify right side
    325.09x = 87,065.62
  5. Step 5: Solve for x
    x = 87,065.62/325.09
  6. Step 6: Final answer
    x = 267.82

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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.