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Finding the Fourth Proportional to 259.54, 358.33 and 161.43

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Solution

The fourth proportional to 259.54, 358.33 and 161.43 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.54 : 358.33 = 161.43 : x
  2. Step 2: Convert to fraction form
    259.54/358.33 = 161.43/x
  3. Step 3: Cross multiply
    259.54x = 358.33 × 161.43
  4. Step 4: Simplify right side
    259.54x = 57,845.62
  5. Step 5: Solve for x
    x = 57,845.62/259.54
  6. Step 6: Final answer
    x = 222.88

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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.