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Finding the Fourth Proportional to 352.58, 486.50 and 197.33

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Solution

The fourth proportional to 352.58, 486.50 and 197.33 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.58 : 486.50 = 197.33 : x
  2. Step 2: Convert to fraction form
    352.58/486.50 = 197.33/x
  3. Step 3: Cross multiply
    352.58x = 486.50 × 197.33
  4. Step 4: Simplify right side
    352.58x = 95,997.63
  5. Step 5: Solve for x
    x = 95,997.63/352.58
  6. Step 6: Final answer
    x = 272.28

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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.