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Finding the Fourth Proportional to 335.88, 463.55 and 196.07

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Solution

The fourth proportional to 335.88, 463.55 and 196.07 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.88 : 463.55 = 196.07 : x
  2. Step 2: Convert to fraction form
    335.88/463.55 = 196.07/x
  3. Step 3: Cross multiply
    335.88x = 463.55 × 196.07
  4. Step 4: Simplify right side
    335.88x = 90,884.95
  5. Step 5: Solve for x
    x = 90,884.95/335.88
  6. Step 6: Final answer
    x = 270.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.