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Finding the Fourth Proportional to 259.86, 389.92 and 131.60

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Solution

The fourth proportional to 259.86, 389.92 and 131.60 is: 197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.86 : 389.92 = 131.60 : x
  2. Step 2: Convert to fraction form
    259.86/389.92 = 131.60/x
  3. Step 3: Cross multiply
    259.86x = 389.92 × 131.60
  4. Step 4: Simplify right side
    259.86x = 51,313.47
  5. Step 5: Solve for x
    x = 51,313.47/259.86
  6. Step 6: Final answer
    x = 197.47

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Why These Related Problems?

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