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Finding the Fourth Proportional to 352.50, 486.42 and 195.11

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Solution

The fourth proportional to 352.50, 486.42 and 195.11 is: 269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.50 : 486.42 = 195.11 : x
  2. Step 2: Convert to fraction form
    352.50/486.42 = 195.11/x
  3. Step 3: Cross multiply
    352.50x = 486.42 × 195.11
  4. Step 4: Simplify right side
    352.50x = 94,906.62
  5. Step 5: Solve for x
    x = 94,906.62/352.50
  6. Step 6: Final answer
    x = 269.24

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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.