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Finding the Fourth Proportional to 232.86, 321 and 149.95

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Solution

The fourth proportional to 232.86, 321 and 149.95 is: 206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 321 = 149.95 : x
  2. Step 2: Convert to fraction form
    232.86/321 = 149.95/x
  3. Step 3: Cross multiply
    232.86x = 321 × 149.95
  4. Step 4: Simplify right side
    232.86x = 48,133.95
  5. Step 5: Solve for x
    x = 48,133.95/232.86
  6. Step 6: Final answer
    x = 206.71

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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.