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Finding the Fourth Proportional to 352.18, 486.05 and 196.90

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Solution

The fourth proportional to 352.18, 486.05 and 196.90 is: 271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.18 : 486.05 = 196.90 : x
  2. Step 2: Convert to fraction form
    352.18/486.05 = 196.90/x
  3. Step 3: Cross multiply
    352.18x = 486.05 × 196.90
  4. Step 4: Simplify right side
    352.18x = 95,703.25
  5. Step 5: Solve for x
    x = 95,703.25/352.18
  6. Step 6: Final answer
    x = 271.75

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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.