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Finding the Fourth Proportional to 325.10, 448.60 and 194.09

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Solution

The fourth proportional to 325.10, 448.60 and 194.09 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.10 : 448.60 = 194.09 : x
  2. Step 2: Convert to fraction form
    325.10/448.60 = 194.09/x
  3. Step 3: Cross multiply
    325.10x = 448.60 × 194.09
  4. Step 4: Simplify right side
    325.10x = 87,066.53
  5. Step 5: Solve for x
    x = 87,066.53/325.10
  6. Step 6: Final answer
    x = 267.81

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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.