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Finding the Fourth Proportional to 259.32, 389.38 and 198.68

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Solution

The fourth proportional to 259.32, 389.38 and 198.68 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.32 : 389.38 = 198.68 : x
  2. Step 2: Convert to fraction form
    259.32/389.38 = 198.68/x
  3. Step 3: Cross multiply
    259.32x = 389.38 × 198.68
  4. Step 4: Simplify right side
    259.32x = 77,362.02
  5. Step 5: Solve for x
    x = 77,362.02/259.32
  6. Step 6: Final answer
    x = 298.33

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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.