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Finding the Fourth Proportional to 337.70, 465.99 and 195.93

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Solution

The fourth proportional to 337.70, 465.99 and 195.93 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.70 : 465.99 = 195.93 : x
  2. Step 2: Convert to fraction form
    337.70/465.99 = 195.93/x
  3. Step 3: Cross multiply
    337.70x = 465.99 × 195.93
  4. Step 4: Simplify right side
    337.70x = 91,301.42
  5. Step 5: Solve for x
    x = 91,301.42/337.70
  6. Step 6: Final answer
    x = 270.37

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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.