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Finding the Fourth Proportional to 232.86, 321.14 and 154.18

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Solution

The fourth proportional to 232.86, 321.14 and 154.18 is: 212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 321.14 = 154.18 : x
  2. Step 2: Convert to fraction form
    232.86/321.14 = 154.18/x
  3. Step 3: Cross multiply
    232.86x = 321.14 × 154.18
  4. Step 4: Simplify right side
    232.86x = 49,513.37
  5. Step 5: Solve for x
    x = 49,513.37/232.86
  6. Step 6: Final answer
    x = 212.63

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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.