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Finding the Fourth Proportional to 232.88, 321 and 219.92

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Solution

The fourth proportional to 232.88, 321 and 219.92 is: 303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 321 = 219.92 : x
  2. Step 2: Convert to fraction form
    232.88/321 = 219.92/x
  3. Step 3: Cross multiply
    232.88x = 321 × 219.92
  4. Step 4: Simplify right side
    232.88x = 70,594.32
  5. Step 5: Solve for x
    x = 70,594.32/232.88
  6. Step 6: Final answer
    x = 303.14

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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.