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Finding the Fourth Proportional to 313.70, 433.01 and 195.68

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Solution

The fourth proportional to 313.70, 433.01 and 195.68 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 433.01 = 195.68 : x
  2. Step 2: Convert to fraction form
    313.70/433.01 = 195.68/x
  3. Step 3: Cross multiply
    313.70x = 433.01 × 195.68
  4. Step 4: Simplify right side
    313.70x = 84,732.97
  5. Step 5: Solve for x
    x = 84,732.97/313.70
  6. Step 6: Final answer
    x = 270.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.