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Finding the Fourth Proportional to 336.80, 464.65 and 196.85

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Solution

The fourth proportional to 336.80, 464.65 and 196.85 is: 271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.80 : 464.65 = 196.85 : x
  2. Step 2: Convert to fraction form
    336.80/464.65 = 196.85/x
  3. Step 3: Cross multiply
    336.80x = 464.65 × 196.85
  4. Step 4: Simplify right side
    336.80x = 91,466.35
  5. Step 5: Solve for x
    x = 91,466.35/336.80
  6. Step 6: Final answer
    x = 271.57

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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.