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Finding the Fourth Proportional to 212.92, 319.64 and 132.12

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Solution

The fourth proportional to 212.92, 319.64 and 132.12 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 319.64 = 132.12 : x
  2. Step 2: Convert to fraction form
    212.92/319.64 = 132.12/x
  3. Step 3: Cross multiply
    212.92x = 319.64 × 132.12
  4. Step 4: Simplify right side
    212.92x = 42,230.84
  5. Step 5: Solve for x
    x = 42,230.84/212.92
  6. Step 6: Final answer
    x = 198.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.