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Finding the Fourth Proportional to 312.73, 431.81 and 194.87

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Solution

The fourth proportional to 312.73, 431.81 and 194.87 is: 269.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.73 : 431.81 = 194.87 : x
  2. Step 2: Convert to fraction form
    312.73/431.81 = 194.87/x
  3. Step 3: Cross multiply
    312.73x = 431.81 × 194.87
  4. Step 4: Simplify right side
    312.73x = 84,148.75
  5. Step 5: Solve for x
    x = 84,148.75/312.73
  6. Step 6: Final answer
    x = 269.08

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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.