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Finding the Fourth Proportional to 323.98, 486.17 and 200.75

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Solution

The fourth proportional to 323.98, 486.17 and 200.75 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.98 : 486.17 = 200.75 : x
  2. Step 2: Convert to fraction form
    323.98/486.17 = 200.75/x
  3. Step 3: Cross multiply
    323.98x = 486.17 × 200.75
  4. Step 4: Simplify right side
    323.98x = 97,595.19
  5. Step 5: Solve for x
    x = 97,595.19/323.98
  6. Step 6: Final answer
    x = 301.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.