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Finding the Fourth Proportional to 259.39, 357.87 and 166.09

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Solution

The fourth proportional to 259.39, 357.87 and 166.09 is: 229.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.39 : 357.87 = 166.09 : x
  2. Step 2: Convert to fraction form
    259.39/357.87 = 166.09/x
  3. Step 3: Cross multiply
    259.39x = 357.87 × 166.09
  4. Step 4: Simplify right side
    259.39x = 59,438.63
  5. Step 5: Solve for x
    x = 59,438.63/259.39
  6. Step 6: Final answer
    x = 229.15

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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.