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Finding the Fourth Proportional to 301.83, 416.57 and 196.89

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Solution

The fourth proportional to 301.83, 416.57 and 196.89 is: 271.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.83 : 416.57 = 196.89 : x
  2. Step 2: Convert to fraction form
    301.83/416.57 = 196.89/x
  3. Step 3: Cross multiply
    301.83x = 416.57 × 196.89
  4. Step 4: Simplify right side
    301.83x = 82,017.48
  5. Step 5: Solve for x
    x = 82,017.48/301.83
  6. Step 6: Final answer
    x = 271.73

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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.