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Finding the Fourth Proportional to 259.49, 388.82 and 168.36

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Solution

The fourth proportional to 259.49, 388.82 and 168.36 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.49 : 388.82 = 168.36 : x
  2. Step 2: Convert to fraction form
    259.49/388.82 = 168.36/x
  3. Step 3: Cross multiply
    259.49x = 388.82 × 168.36
  4. Step 4: Simplify right side
    259.49x = 65,460.89
  5. Step 5: Solve for x
    x = 65,460.89/259.49
  6. Step 6: Final answer
    x = 252.27

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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.