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Finding the Fourth Proportional to 354.24, 488.82 and 196.87

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Solution

The fourth proportional to 354.24, 488.82 and 196.87 is: 271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 488.82 = 196.87 : x
  2. Step 2: Convert to fraction form
    354.24/488.82 = 196.87/x
  3. Step 3: Cross multiply
    354.24x = 488.82 × 196.87
  4. Step 4: Simplify right side
    354.24x = 96,233.88
  5. Step 5: Solve for x
    x = 96,233.88/354.24
  6. Step 6: Final answer
    x = 271.66

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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.