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Finding the Fourth Proportional to 309.89, 427.48 and 205.07

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Solution

The fourth proportional to 309.89, 427.48 and 205.07 is: 282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.89 : 427.48 = 205.07 : x
  2. Step 2: Convert to fraction form
    309.89/427.48 = 205.07/x
  3. Step 3: Cross multiply
    309.89x = 427.48 × 205.07
  4. Step 4: Simplify right side
    309.89x = 87,660.67
  5. Step 5: Solve for x
    x = 87,660.67/309.89
  6. Step 6: Final answer
    x = 282.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.