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Finding the Fourth Proportional to 276.35, 414.43 and 185.03

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Solution

The fourth proportional to 276.35, 414.43 and 185.03 is: 277.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.35 : 414.43 = 185.03 : x
  2. Step 2: Convert to fraction form
    276.35/414.43 = 185.03/x
  3. Step 3: Cross multiply
    276.35x = 414.43 × 185.03
  4. Step 4: Simplify right side
    276.35x = 76,679.45
  5. Step 5: Solve for x
    x = 76,679.45/276.35
  6. Step 6: Final answer
    x = 277.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.