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Finding the Fourth Proportional to 336.96, 464.94 and 197.10

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Solution

The fourth proportional to 336.96, 464.94 and 197.10 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.96 : 464.94 = 197.10 : x
  2. Step 2: Convert to fraction form
    336.96/464.94 = 197.10/x
  3. Step 3: Cross multiply
    336.96x = 464.94 × 197.10
  4. Step 4: Simplify right side
    336.96x = 91,639.67
  5. Step 5: Solve for x
    x = 91,639.67/336.96
  6. Step 6: Final answer
    x = 271.96

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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.