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Finding the Fourth Proportional to 363.63, 501.72 and 206.24

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Solution

The fourth proportional to 363.63, 501.72 and 206.24 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.63 : 501.72 = 206.24 : x
  2. Step 2: Convert to fraction form
    363.63/501.72 = 206.24/x
  3. Step 3: Cross multiply
    363.63x = 501.72 × 206.24
  4. Step 4: Simplify right side
    363.63x = 103,472.22
  5. Step 5: Solve for x
    x = 103,472.22/363.63
  6. Step 6: Final answer
    x = 284.55

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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.