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Finding the Fourth Proportional to 205, 305.09 and 200.44

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Solution

The fourth proportional to 205, 305.09 and 200.44 is: 298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 305.09 = 200.44 : x
  2. Step 2: Convert to fraction form
    205/305.09 = 200.44/x
  3. Step 3: Cross multiply
    205x = 305.09 × 200.44
  4. Step 4: Simplify right side
    205x = 61,152.24
  5. Step 5: Solve for x
    x = 61,152.24/205
  6. Step 6: Final answer
    x = 298.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.