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Finding the Fourth Proportional to 335.83, 463.47 and 195.98

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Solution

The fourth proportional to 335.83, 463.47 and 195.98 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.83 : 463.47 = 195.98 : x
  2. Step 2: Convert to fraction form
    335.83/463.47 = 195.98/x
  3. Step 3: Cross multiply
    335.83x = 463.47 × 195.98
  4. Step 4: Simplify right side
    335.83x = 90,830.85
  5. Step 5: Solve for x
    x = 90,830.85/335.83
  6. Step 6: Final answer
    x = 270.47

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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.