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Finding the Fourth Proportional to 232.96, 321.42 and 145.72

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Solution

The fourth proportional to 232.96, 321.42 and 145.72 is: 201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.96 : 321.42 = 145.72 : x
  2. Step 2: Convert to fraction form
    232.96/321.42 = 145.72/x
  3. Step 3: Cross multiply
    232.96x = 321.42 × 145.72
  4. Step 4: Simplify right side
    232.96x = 46,837.32
  5. Step 5: Solve for x
    x = 46,837.32/232.96
  6. Step 6: Final answer
    x = 201.05

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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.