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Finding the Fourth Proportional to 232.56, 321 and 145.20

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Solution

The fourth proportional to 232.56, 321 and 145.20 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.56 : 321 = 145.20 : x
  2. Step 2: Convert to fraction form
    232.56/321 = 145.20/x
  3. Step 3: Cross multiply
    232.56x = 321 × 145.20
  4. Step 4: Simplify right side
    232.56x = 46,609.20
  5. Step 5: Solve for x
    x = 46,609.20/232.56
  6. Step 6: Final answer
    x = 200.42

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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.