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Finding the Fourth Proportional to 259.37, 357.97 and 166.09

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Solution

The fourth proportional to 259.37, 357.97 and 166.09 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.37 : 357.97 = 166.09 : x
  2. Step 2: Convert to fraction form
    259.37/357.97 = 166.09/x
  3. Step 3: Cross multiply
    259.37x = 357.97 × 166.09
  4. Step 4: Simplify right side
    259.37x = 59,453.45
  5. Step 5: Solve for x
    x = 59,453.45/259.37
  6. Step 6: Final answer
    x = 229.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.