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Finding the Fourth Proportional to 335.66, 463.14 and 195.75

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Solution

The fourth proportional to 335.66, 463.14 and 195.75 is: 270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.66 : 463.14 = 195.75 : x
  2. Step 2: Convert to fraction form
    335.66/463.14 = 195.75/x
  3. Step 3: Cross multiply
    335.66x = 463.14 × 195.75
  4. Step 4: Simplify right side
    335.66x = 90,659.66
  5. Step 5: Solve for x
    x = 90,659.66/335.66
  6. Step 6: Final answer
    x = 270.10

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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.