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Finding the Fourth Proportional to 313.10, 431.87 and 194.97

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Solution

The fourth proportional to 313.10, 431.87 and 194.97 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.10 : 431.87 = 194.97 : x
  2. Step 2: Convert to fraction form
    313.10/431.87 = 194.97/x
  3. Step 3: Cross multiply
    313.10x = 431.87 × 194.97
  4. Step 4: Simplify right side
    313.10x = 84,202.34
  5. Step 5: Solve for x
    x = 84,202.34/313.10
  6. Step 6: Final answer
    x = 268.93

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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.