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Finding the Fourth Proportional to 309.86, 427.30 and 199.15

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Solution

The fourth proportional to 309.86, 427.30 and 199.15 is: 274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.86 : 427.30 = 199.15 : x
  2. Step 2: Convert to fraction form
    309.86/427.30 = 199.15/x
  3. Step 3: Cross multiply
    309.86x = 427.30 × 199.15
  4. Step 4: Simplify right side
    309.86x = 85,096.80
  5. Step 5: Solve for x
    x = 85,096.80/309.86
  6. Step 6: Final answer
    x = 274.63

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Why These Related Problems?

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