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Finding the Fourth Proportional to 300.40, 414.49 and 182.35

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Solution

The fourth proportional to 300.40, 414.49 and 182.35 is: 251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 414.49 = 182.35 : x
  2. Step 2: Convert to fraction form
    300.40/414.49 = 182.35/x
  3. Step 3: Cross multiply
    300.40x = 414.49 × 182.35
  4. Step 4: Simplify right side
    300.40x = 75,582.25
  5. Step 5: Solve for x
    x = 75,582.25/300.40
  6. Step 6: Final answer
    x = 251.61

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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.