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Finding the Fourth Proportional to 300.74, 414.82 and 251.18

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Solution

The fourth proportional to 300.74, 414.82 and 251.18 is: 346.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.74 : 414.82 = 251.18 : x
  2. Step 2: Convert to fraction form
    300.74/414.82 = 251.18/x
  3. Step 3: Cross multiply
    300.74x = 414.82 × 251.18
  4. Step 4: Simplify right side
    300.74x = 104,194.49
  5. Step 5: Solve for x
    x = 104,194.49/300.74
  6. Step 6: Final answer
    x = 346.46

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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.