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Finding the Fourth Proportional to 325.12, 448.64 and 194.12

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Solution

The fourth proportional to 325.12, 448.64 and 194.12 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.12 : 448.64 = 194.12 : x
  2. Step 2: Convert to fraction form
    325.12/448.64 = 194.12/x
  3. Step 3: Cross multiply
    325.12x = 448.64 × 194.12
  4. Step 4: Simplify right side
    325.12x = 87,090.00
  5. Step 5: Solve for x
    x = 87,090.00/325.12
  6. Step 6: Final answer
    x = 267.87

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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.