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Finding the Fourth Proportional to 335.90, 463.51 and 196.02

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Solution

The fourth proportional to 335.90, 463.51 and 196.02 is: 270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.90 : 463.51 = 196.02 : x
  2. Step 2: Convert to fraction form
    335.90/463.51 = 196.02/x
  3. Step 3: Cross multiply
    335.90x = 463.51 × 196.02
  4. Step 4: Simplify right side
    335.90x = 90,857.23
  5. Step 5: Solve for x
    x = 90,857.23/335.90
  6. Step 6: Final answer
    x = 270.49

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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.