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Finding the Fourth Proportional to 363.17, 501.26 and 213.86

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Solution

The fourth proportional to 363.17, 501.26 and 213.86 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.17 : 501.26 = 213.86 : x
  2. Step 2: Convert to fraction form
    363.17/501.26 = 213.86/x
  3. Step 3: Cross multiply
    363.17x = 501.26 × 213.86
  4. Step 4: Simplify right side
    363.17x = 107,199.46
  5. Step 5: Solve for x
    x = 107,199.46/363.17
  6. Step 6: Final answer
    x = 295.18

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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.