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Finding the Fourth Proportional to 300.69, 414.99 and 184.19

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Solution

The fourth proportional to 300.69, 414.99 and 184.19 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.69 : 414.99 = 184.19 : x
  2. Step 2: Convert to fraction form
    300.69/414.99 = 184.19/x
  3. Step 3: Cross multiply
    300.69x = 414.99 × 184.19
  4. Step 4: Simplify right side
    300.69x = 76,437.01
  5. Step 5: Solve for x
    x = 76,437.01/300.69
  6. Step 6: Final answer
    x = 254.21

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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.