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Finding the Fourth Proportional to 309.94, 465.39 and 205.98

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Solution

The fourth proportional to 309.94, 465.39 and 205.98 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 465.39 = 205.98 : x
  2. Step 2: Convert to fraction form
    309.94/465.39 = 205.98/x
  3. Step 3: Cross multiply
    309.94x = 465.39 × 205.98
  4. Step 4: Simplify right side
    309.94x = 95,861.03
  5. Step 5: Solve for x
    x = 95,861.03/309.94
  6. Step 6: Final answer
    x = 309.29

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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.