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Finding the Fourth Proportional to 233.82, 321.94 and 212.22

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Solution

The fourth proportional to 233.82, 321.94 and 212.22 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.82 : 321.94 = 212.22 : x
  2. Step 2: Convert to fraction form
    233.82/321.94 = 212.22/x
  3. Step 3: Cross multiply
    233.82x = 321.94 × 212.22
  4. Step 4: Simplify right side
    233.82x = 68,322.11
  5. Step 5: Solve for x
    x = 68,322.11/233.82
  6. Step 6: Final answer
    x = 292.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.