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Finding the Fourth Proportional to 203.85, 303.99 and 195.14

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Solution

The fourth proportional to 203.85, 303.99 and 195.14 is: 290.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.85 : 303.99 = 195.14 : x
  2. Step 2: Convert to fraction form
    203.85/303.99 = 195.14/x
  3. Step 3: Cross multiply
    203.85x = 303.99 × 195.14
  4. Step 4: Simplify right side
    203.85x = 59,319.09
  5. Step 5: Solve for x
    x = 59,319.09/203.85
  6. Step 6: Final answer
    x = 290.99

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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.