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Finding the Fourth Proportional to 259.00, 388.33 and 213.23

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Solution

The fourth proportional to 259.00, 388.33 and 213.23 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.00 : 388.33 = 213.23 : x
  2. Step 2: Convert to fraction form
    259.00/388.33 = 213.23/x
  3. Step 3: Cross multiply
    259.00x = 388.33 × 213.23
  4. Step 4: Simplify right side
    259.00x = 82,804.04
  5. Step 5: Solve for x
    x = 82,804.04/259.00
  6. Step 6: Final answer
    x = 319.71

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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.