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Finding the Fourth Proportional to 363.37, 501.48 and 206.03

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Solution

The fourth proportional to 363.37, 501.48 and 206.03 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.37 : 501.48 = 206.03 : x
  2. Step 2: Convert to fraction form
    363.37/501.48 = 206.03/x
  3. Step 3: Cross multiply
    363.37x = 501.48 × 206.03
  4. Step 4: Simplify right side
    363.37x = 103,319.92
  5. Step 5: Solve for x
    x = 103,319.92/363.37
  6. Step 6: Final answer
    x = 284.34

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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.