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Finding the Fourth Proportional to 232.75, 321.16 and 212.10

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Solution

The fourth proportional to 232.75, 321.16 and 212.10 is: 292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.75 : 321.16 = 212.10 : x
  2. Step 2: Convert to fraction form
    232.75/321.16 = 212.10/x
  3. Step 3: Cross multiply
    232.75x = 321.16 × 212.10
  4. Step 4: Simplify right side
    232.75x = 68,118.04
  5. Step 5: Solve for x
    x = 68,118.04/232.75
  6. Step 6: Final answer
    x = 292.67

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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.