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Finding the Fourth Proportional to 300.25, 414.36 and 183.82

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Solution

The fourth proportional to 300.25, 414.36 and 183.82 is: 253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.25 : 414.36 = 183.82 : x
  2. Step 2: Convert to fraction form
    300.25/414.36 = 183.82/x
  3. Step 3: Cross multiply
    300.25x = 414.36 × 183.82
  4. Step 4: Simplify right side
    300.25x = 76,167.66
  5. Step 5: Solve for x
    x = 76,167.66/300.25
  6. Step 6: Final answer
    x = 253.68

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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.