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Finding the Fourth Proportional to 301.64, 416.31 and 195.42

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Solution

The fourth proportional to 301.64, 416.31 and 195.42 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 416.31 = 195.42 : x
  2. Step 2: Convert to fraction form
    301.64/416.31 = 195.42/x
  3. Step 3: Cross multiply
    301.64x = 416.31 × 195.42
  4. Step 4: Simplify right side
    301.64x = 81,355.30
  5. Step 5: Solve for x
    x = 81,355.30/301.64
  6. Step 6: Final answer
    x = 269.71

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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.