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Finding the Fourth Proportional to 352.75, 486.81 and 195.40

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Solution

The fourth proportional to 352.75, 486.81 and 195.40 is: 269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.75 : 486.81 = 195.40 : x
  2. Step 2: Convert to fraction form
    352.75/486.81 = 195.40/x
  3. Step 3: Cross multiply
    352.75x = 486.81 × 195.40
  4. Step 4: Simplify right side
    352.75x = 95,122.67
  5. Step 5: Solve for x
    x = 95,122.67/352.75
  6. Step 6: Final answer
    x = 269.66

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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.