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Finding the Fourth Proportional to 363.23, 501.14 and 205.84

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Solution

The fourth proportional to 363.23, 501.14 and 205.84 is: 283.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.23 : 501.14 = 205.84 : x
  2. Step 2: Convert to fraction form
    363.23/501.14 = 205.84/x
  3. Step 3: Cross multiply
    363.23x = 501.14 × 205.84
  4. Step 4: Simplify right side
    363.23x = 103,154.66
  5. Step 5: Solve for x
    x = 103,154.66/363.23
  6. Step 6: Final answer
    x = 283.99

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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.