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Finding the Fourth Proportional to 325.11, 448.59 and 194.08

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Solution

The fourth proportional to 325.11, 448.59 and 194.08 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 448.59 = 194.08 : x
  2. Step 2: Convert to fraction form
    325.11/448.59 = 194.08/x
  3. Step 3: Cross multiply
    325.11x = 448.59 × 194.08
  4. Step 4: Simplify right side
    325.11x = 87,062.35
  5. Step 5: Solve for x
    x = 87,062.35/325.11
  6. Step 6: Final answer
    x = 267.79

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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.