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Finding the Fourth Proportional to 336, 463.66 and 196.05

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Solution

The fourth proportional to 336, 463.66 and 196.05 is: 270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336 : 463.66 = 196.05 : x
  2. Step 2: Convert to fraction form
    336/463.66 = 196.05/x
  3. Step 3: Cross multiply
    336x = 463.66 × 196.05
  4. Step 4: Simplify right side
    336x = 90,900.54
  5. Step 5: Solve for x
    x = 90,900.54/336
  6. Step 6: Final answer
    x = 270.54

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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.