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Finding the Fourth Proportional to 309.49, 427.13 and 193.09

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Solution

The fourth proportional to 309.49, 427.13 and 193.09 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.49 : 427.13 = 193.09 : x
  2. Step 2: Convert to fraction form
    309.49/427.13 = 193.09/x
  3. Step 3: Cross multiply
    309.49x = 427.13 × 193.09
  4. Step 4: Simplify right side
    309.49x = 82,472.88
  5. Step 5: Solve for x
    x = 82,472.88/309.49
  6. Step 6: Final answer
    x = 266.48

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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.