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Finding the Fourth Proportional to 334.95, 462.23 and 195.09

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Solution

The fourth proportional to 334.95, 462.23 and 195.09 is: 269.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.95 : 462.23 = 195.09 : x
  2. Step 2: Convert to fraction form
    334.95/462.23 = 195.09/x
  3. Step 3: Cross multiply
    334.95x = 462.23 × 195.09
  4. Step 4: Simplify right side
    334.95x = 90,173.16
  5. Step 5: Solve for x
    x = 90,173.16/334.95
  6. Step 6: Final answer
    x = 269.22

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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.