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Finding the Fourth Proportional to 309.96, 427.73 and 170.06

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Solution

The fourth proportional to 309.96, 427.73 and 170.06 is: 234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.96 : 427.73 = 170.06 : x
  2. Step 2: Convert to fraction form
    309.96/427.73 = 170.06/x
  3. Step 3: Cross multiply
    309.96x = 427.73 × 170.06
  4. Step 4: Simplify right side
    309.96x = 72,739.98
  5. Step 5: Solve for x
    x = 72,739.98/309.96
  6. Step 6: Final answer
    x = 234.68

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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.