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Finding the Fourth Proportional to 309.87, 427.62 and 169.99

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Solution

The fourth proportional to 309.87, 427.62 and 169.99 is: 234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 427.62 = 169.99 : x
  2. Step 2: Convert to fraction form
    309.87/427.62 = 169.99/x
  3. Step 3: Cross multiply
    309.87x = 427.62 × 169.99
  4. Step 4: Simplify right side
    309.87x = 72,690.69
  5. Step 5: Solve for x
    x = 72,690.69/309.87
  6. Step 6: Final answer
    x = 234.58

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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.