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Finding the Fourth Proportional to 363.18, 501.27 and 205.82

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Solution

The fourth proportional to 363.18, 501.27 and 205.82 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.18 : 501.27 = 205.82 : x
  2. Step 2: Convert to fraction form
    363.18/501.27 = 205.82/x
  3. Step 3: Cross multiply
    363.18x = 501.27 × 205.82
  4. Step 4: Simplify right side
    363.18x = 103,170.36
  5. Step 5: Solve for x
    x = 103,170.36/363.18
  6. Step 6: Final answer
    x = 284.08

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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.