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Finding the Fourth Proportional to 335.32, 462.74 and 195.45

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Solution

The fourth proportional to 335.32, 462.74 and 195.45 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.32 : 462.74 = 195.45 : x
  2. Step 2: Convert to fraction form
    335.32/462.74 = 195.45/x
  3. Step 3: Cross multiply
    335.32x = 462.74 × 195.45
  4. Step 4: Simplify right side
    335.32x = 90,440.92
  5. Step 5: Solve for x
    x = 90,440.92/335.32
  6. Step 6: Final answer
    x = 269.71

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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.