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Finding the Fourth Proportional to 232.96, 321.16 and 145.56

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Solution

The fourth proportional to 232.96, 321.16 and 145.56 is: 200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 321.16 = 145.56 : x
  2. Step 2: Convert to fraction form
    232.96/321.16 = 145.56/x
  3. Step 3: Cross multiply
    232.96x = 321.16 × 145.56
  4. Step 4: Simplify right side
    232.96x = 46,748.05
  5. Step 5: Solve for x
    x = 46,748.05/232.96
  6. Step 6: Final answer
    x = 200.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.