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Finding the Fourth Proportional to 614.82, 922.23 and 203.97

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Solution

The fourth proportional to 614.82, 922.23 and 203.97 is: 305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.82 : 922.23 = 203.97 : x
  2. Step 2: Convert to fraction form
    614.82/922.23 = 203.97/x
  3. Step 3: Cross multiply
    614.82x = 922.23 × 203.97
  4. Step 4: Simplify right side
    614.82x = 188,107.25
  5. Step 5: Solve for x
    x = 188,107.25/614.82
  6. Step 6: Final answer
    x = 305.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.