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Finding the Fourth Proportional to 363.69, 501.96 and 206.34

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Solution

The fourth proportional to 363.69, 501.96 and 206.34 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 501.96 = 206.34 : x
  2. Step 2: Convert to fraction form
    363.69/501.96 = 206.34/x
  3. Step 3: Cross multiply
    363.69x = 501.96 × 206.34
  4. Step 4: Simplify right side
    363.69x = 103,574.43
  5. Step 5: Solve for x
    x = 103,574.43/363.69
  6. Step 6: Final answer
    x = 284.79

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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.