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Finding the Fourth Proportional to 259.20, 388.06 and 167.94

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Solution

The fourth proportional to 259.20, 388.06 and 167.94 is: 251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.20 : 388.06 = 167.94 : x
  2. Step 2: Convert to fraction form
    259.20/388.06 = 167.94/x
  3. Step 3: Cross multiply
    259.20x = 388.06 × 167.94
  4. Step 4: Simplify right side
    259.20x = 65,170.38
  5. Step 5: Solve for x
    x = 65,170.38/259.20
  6. Step 6: Final answer
    x = 251.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.