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Finding the Fourth Proportional to 336.74, 464.64 and 196.87

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Solution

The fourth proportional to 336.74, 464.64 and 196.87 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.74 : 464.64 = 196.87 : x
  2. Step 2: Convert to fraction form
    336.74/464.64 = 196.87/x
  3. Step 3: Cross multiply
    336.74x = 464.64 × 196.87
  4. Step 4: Simplify right side
    336.74x = 91,473.68
  5. Step 5: Solve for x
    x = 91,473.68/336.74
  6. Step 6: Final answer
    x = 271.64

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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.