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Finding the Fourth Proportional to 259.56, 389.33 and 67.19

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Solution

The fourth proportional to 259.56, 389.33 and 67.19 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.56 : 389.33 = 67.19 : x
  2. Step 2: Convert to fraction form
    259.56/389.33 = 67.19/x
  3. Step 3: Cross multiply
    259.56x = 389.33 × 67.19
  4. Step 4: Simplify right side
    259.56x = 26,157.43
  5. Step 5: Solve for x
    x = 26,157.43/259.56
  6. Step 6: Final answer
    x = 100.78

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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.