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Finding the Fourth Proportional to 363.69, 501.84 and 206.30

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Solution

The fourth proportional to 363.69, 501.84 and 206.30 is: 284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 501.84 = 206.30 : x
  2. Step 2: Convert to fraction form
    363.69/501.84 = 206.30/x
  3. Step 3: Cross multiply
    363.69x = 501.84 × 206.30
  4. Step 4: Simplify right side
    363.69x = 103,527.08
  5. Step 5: Solve for x
    x = 103,527.08/363.69
  6. Step 6: Final answer
    x = 284.66

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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.