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Finding the Fourth Proportional to 259.57, 389.46 and 115.19

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Solution

The fourth proportional to 259.57, 389.46 and 115.19 is: 172.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.57 : 389.46 = 115.19 : x
  2. Step 2: Convert to fraction form
    259.57/389.46 = 115.19/x
  3. Step 3: Cross multiply
    259.57x = 389.46 × 115.19
  4. Step 4: Simplify right side
    259.57x = 44,861.32
  5. Step 5: Solve for x
    x = 44,861.32/259.57
  6. Step 6: Final answer
    x = 172.83

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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.