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Finding the Fourth Proportional to 277.03, 414.87 and 195.49

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Solution

The fourth proportional to 277.03, 414.87 and 195.49 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.03 : 414.87 = 195.49 : x
  2. Step 2: Convert to fraction form
    277.03/414.87 = 195.49/x
  3. Step 3: Cross multiply
    277.03x = 414.87 × 195.49
  4. Step 4: Simplify right side
    277.03x = 81,102.94
  5. Step 5: Solve for x
    x = 81,102.94/277.03
  6. Step 6: Final answer
    x = 292.76

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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.