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Finding the Fourth Proportional to 225.33, 309.26 and 219.26

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Solution

The fourth proportional to 225.33, 309.26 and 219.26 is: 300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.33 : 309.26 = 219.26 : x
  2. Step 2: Convert to fraction form
    225.33/309.26 = 219.26/x
  3. Step 3: Cross multiply
    225.33x = 309.26 × 219.26
  4. Step 4: Simplify right side
    225.33x = 67,805.71
  5. Step 5: Solve for x
    x = 67,805.71/225.33
  6. Step 6: Final answer
    x = 300.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.