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Finding the Fourth Proportional to 203.89, 307.09 and 185.21

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Solution

The fourth proportional to 203.89, 307.09 and 185.21 is: 278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 307.09 = 185.21 : x
  2. Step 2: Convert to fraction form
    203.89/307.09 = 185.21/x
  3. Step 3: Cross multiply
    203.89x = 307.09 × 185.21
  4. Step 4: Simplify right side
    203.89x = 56,876.85
  5. Step 5: Solve for x
    x = 56,876.85/203.89
  6. Step 6: Final answer
    x = 278.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.