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Finding the Fourth Proportional to 309.97, 427.77 and 170.09

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Solution

The fourth proportional to 309.97, 427.77 and 170.09 is: 234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.97 : 427.77 = 170.09 : x
  2. Step 2: Convert to fraction form
    309.97/427.77 = 170.09/x
  3. Step 3: Cross multiply
    309.97x = 427.77 × 170.09
  4. Step 4: Simplify right side
    309.97x = 72,759.40
  5. Step 5: Solve for x
    x = 72,759.40/309.97
  6. Step 6: Final answer
    x = 234.73

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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.