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Finding the Fourth Proportional to 306.56, 459.44 and 169.67

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Solution

The fourth proportional to 306.56, 459.44 and 169.67 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 459.44 = 169.67 : x
  2. Step 2: Convert to fraction form
    306.56/459.44 = 169.67/x
  3. Step 3: Cross multiply
    306.56x = 459.44 × 169.67
  4. Step 4: Simplify right side
    306.56x = 77,954.12
  5. Step 5: Solve for x
    x = 77,954.12/306.56
  6. Step 6: Final answer
    x = 254.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.