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Finding the Fourth Proportional to 259.25, 358.09 and 217.94

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Solution

The fourth proportional to 259.25, 358.09 and 217.94 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 358.09 = 217.94 : x
  2. Step 2: Convert to fraction form
    259.25/358.09 = 217.94/x
  3. Step 3: Cross multiply
    259.25x = 358.09 × 217.94
  4. Step 4: Simplify right side
    259.25x = 78,039.80
  5. Step 5: Solve for x
    x = 78,039.80/259.25
  6. Step 6: Final answer
    x = 301.03

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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.