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Finding the Fourth Proportional to 259.75, 389.63 and 67.38

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Solution

The fourth proportional to 259.75, 389.63 and 67.38 is: 101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 389.63 = 67.38 : x
  2. Step 2: Convert to fraction form
    259.75/389.63 = 67.38/x
  3. Step 3: Cross multiply
    259.75x = 389.63 × 67.38
  4. Step 4: Simplify right side
    259.75x = 26,253.27
  5. Step 5: Solve for x
    x = 26,253.27/259.75
  6. Step 6: Final answer
    x = 101.07

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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.