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Finding the Fourth Proportional to 259.69, 389.32 and 231.95

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Solution

The fourth proportional to 259.69, 389.32 and 231.95 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.69 : 389.32 = 231.95 : x
  2. Step 2: Convert to fraction form
    259.69/389.32 = 231.95/x
  3. Step 3: Cross multiply
    259.69x = 389.32 × 231.95
  4. Step 4: Simplify right side
    259.69x = 90,302.77
  5. Step 5: Solve for x
    x = 90,302.77/259.69
  6. Step 6: Final answer
    x = 347.73

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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.