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Finding the Fourth Proportional to 300.61, 414.75 and 182.53

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Solution

The fourth proportional to 300.61, 414.75 and 182.53 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.61 : 414.75 = 182.53 : x
  2. Step 2: Convert to fraction form
    300.61/414.75 = 182.53/x
  3. Step 3: Cross multiply
    300.61x = 414.75 × 182.53
  4. Step 4: Simplify right side
    300.61x = 75,704.32
  5. Step 5: Solve for x
    x = 75,704.32/300.61
  6. Step 6: Final answer
    x = 251.84

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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.