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Finding the Fourth Proportional to 352.75, 486.76 and 195.35

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Solution

The fourth proportional to 352.75, 486.76 and 195.35 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.75 : 486.76 = 195.35 : x
  2. Step 2: Convert to fraction form
    352.75/486.76 = 195.35/x
  3. Step 3: Cross multiply
    352.75x = 486.76 × 195.35
  4. Step 4: Simplify right side
    352.75x = 95,088.57
  5. Step 5: Solve for x
    x = 95,088.57/352.75
  6. Step 6: Final answer
    x = 269.56

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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.