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Finding the Fourth Proportional to 259.28, 388.20 and 168.08

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Solution

The fourth proportional to 259.28, 388.20 and 168.08 is: 251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.28 : 388.20 = 168.08 : x
  2. Step 2: Convert to fraction form
    259.28/388.20 = 168.08/x
  3. Step 3: Cross multiply
    259.28x = 388.20 × 168.08
  4. Step 4: Simplify right side
    259.28x = 65,248.66
  5. Step 5: Solve for x
    x = 65,248.66/259.28
  6. Step 6: Final answer
    x = 251.65

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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.