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Finding the Fourth Proportional to 259.42, 389.09 and 129.39

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Solution

The fourth proportional to 259.42, 389.09 and 129.39 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.42 : 389.09 = 129.39 : x
  2. Step 2: Convert to fraction form
    259.42/389.09 = 129.39/x
  3. Step 3: Cross multiply
    259.42x = 389.09 × 129.39
  4. Step 4: Simplify right side
    259.42x = 50,344.36
  5. Step 5: Solve for x
    x = 50,344.36/259.42
  6. Step 6: Final answer
    x = 194.07

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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.