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Finding the Fourth Proportional to 314.31, 433.79 and 189.97

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Solution

The fourth proportional to 314.31, 433.79 and 189.97 is: 262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 433.79 = 189.97 : x
  2. Step 2: Convert to fraction form
    314.31/433.79 = 189.97/x
  3. Step 3: Cross multiply
    314.31x = 433.79 × 189.97
  4. Step 4: Simplify right side
    314.31x = 82,406.68
  5. Step 5: Solve for x
    x = 82,406.68/314.31
  6. Step 6: Final answer
    x = 262.19

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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.