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Finding the Fourth Proportional to 335.06, 462.47 and 195.25

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Solution

The fourth proportional to 335.06, 462.47 and 195.25 is: 269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.06 : 462.47 = 195.25 : x
  2. Step 2: Convert to fraction form
    335.06/462.47 = 195.25/x
  3. Step 3: Cross multiply
    335.06x = 462.47 × 195.25
  4. Step 4: Simplify right side
    335.06x = 90,296.60
  5. Step 5: Solve for x
    x = 90,296.60/335.06
  6. Step 6: Final answer
    x = 269.49

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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.