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Finding the Fourth Proportional to 334.95, 462.27 and 195.11

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Solution

The fourth proportional to 334.95, 462.27 and 195.11 is: 269.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.95 : 462.27 = 195.11 : x
  2. Step 2: Convert to fraction form
    334.95/462.27 = 195.11/x
  3. Step 3: Cross multiply
    334.95x = 462.27 × 195.11
  4. Step 4: Simplify right side
    334.95x = 90,191.19
  5. Step 5: Solve for x
    x = 90,191.19/334.95
  6. Step 6: Final answer
    x = 269.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.