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Finding the Fourth Proportional to 232.66, 321 and 144.15

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Solution

The fourth proportional to 232.66, 321 and 144.15 is: 198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 321 = 144.15 : x
  2. Step 2: Convert to fraction form
    232.66/321 = 144.15/x
  3. Step 3: Cross multiply
    232.66x = 321 × 144.15
  4. Step 4: Simplify right side
    232.66x = 46,272.15
  5. Step 5: Solve for x
    x = 46,272.15/232.66
  6. Step 6: Final answer
    x = 198.88

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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.