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Finding the Fourth Proportional to 232.79, 321.23 and 145.49

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Solution

The fourth proportional to 232.79, 321.23 and 145.49 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.79 : 321.23 = 145.49 : x
  2. Step 2: Convert to fraction form
    232.79/321.23 = 145.49/x
  3. Step 3: Cross multiply
    232.79x = 321.23 × 145.49
  4. Step 4: Simplify right side
    232.79x = 46,735.03
  5. Step 5: Solve for x
    x = 46,735.03/232.79
  6. Step 6: Final answer
    x = 200.76

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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.