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Finding the Fourth Proportional to 300.69, 451.04 and 192.22

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Solution

The fourth proportional to 300.69, 451.04 and 192.22 is: 288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.69 : 451.04 = 192.22 : x
  2. Step 2: Convert to fraction form
    300.69/451.04 = 192.22/x
  3. Step 3: Cross multiply
    300.69x = 451.04 × 192.22
  4. Step 4: Simplify right side
    300.69x = 86,696.82
  5. Step 5: Solve for x
    x = 86,696.82/300.69
  6. Step 6: Final answer
    x = 288.33

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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.