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Finding the Fourth Proportional to 363.22, 501.19 and 232.14

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Solution

The fourth proportional to 363.22, 501.19 and 232.14 is: 320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.22 : 501.19 = 232.14 : x
  2. Step 2: Convert to fraction form
    363.22/501.19 = 232.14/x
  3. Step 3: Cross multiply
    363.22x = 501.19 × 232.14
  4. Step 4: Simplify right side
    363.22x = 116,346.25
  5. Step 5: Solve for x
    x = 116,346.25/363.22
  6. Step 6: Final answer
    x = 320.32

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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.