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Finding the Fourth Proportional to 234.96, 324.09 and 145.20

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Solution

The fourth proportional to 234.96, 324.09 and 145.20 is: 200.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.96 : 324.09 = 145.20 : x
  2. Step 2: Convert to fraction form
    234.96/324.09 = 145.20/x
  3. Step 3: Cross multiply
    234.96x = 324.09 × 145.20
  4. Step 4: Simplify right side
    234.96x = 47,057.87
  5. Step 5: Solve for x
    x = 47,057.87/234.96
  6. Step 6: Final answer
    x = 200.28

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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.