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Finding the Fourth Proportional to 212.76, 319.14 and 120.22

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Solution

The fourth proportional to 212.76, 319.14 and 120.22 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.76 : 319.14 = 120.22 : x
  2. Step 2: Convert to fraction form
    212.76/319.14 = 120.22/x
  3. Step 3: Cross multiply
    212.76x = 319.14 × 120.22
  4. Step 4: Simplify right side
    212.76x = 38,367.01
  5. Step 5: Solve for x
    x = 38,367.01/212.76
  6. Step 6: Final answer
    x = 180.33

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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.