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Finding the Fourth Proportional to 363.32, 501.38 and 205.96

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Solution

The fourth proportional to 363.32, 501.38 and 205.96 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 501.38 = 205.96 : x
  2. Step 2: Convert to fraction form
    363.32/501.38 = 205.96/x
  3. Step 3: Cross multiply
    363.32x = 501.38 × 205.96
  4. Step 4: Simplify right side
    363.32x = 103,264.22
  5. Step 5: Solve for x
    x = 103,264.22/363.32
  6. Step 6: Final answer
    x = 284.22

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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.