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Finding the Fourth Proportional to 259.92, 389.72 and 131.66

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Solution

The fourth proportional to 259.92, 389.72 and 131.66 is: 197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.92 : 389.72 = 131.66 : x
  2. Step 2: Convert to fraction form
    259.92/389.72 = 131.66/x
  3. Step 3: Cross multiply
    259.92x = 389.72 × 131.66
  4. Step 4: Simplify right side
    259.92x = 51,310.54
  5. Step 5: Solve for x
    x = 51,310.54/259.92
  6. Step 6: Final answer
    x = 197.41

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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.