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Finding the Fourth Proportional to 259.20, 388.27 and 194.31

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Solution

The fourth proportional to 259.20, 388.27 and 194.31 is: 291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 388.27 = 194.31 : x
  2. Step 2: Convert to fraction form
    259.20/388.27 = 194.31/x
  3. Step 3: Cross multiply
    259.20x = 388.27 × 194.31
  4. Step 4: Simplify right side
    259.20x = 75,445.71
  5. Step 5: Solve for x
    x = 75,445.71/259.20
  6. Step 6: Final answer
    x = 291.07

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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.