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Finding the Fourth Proportional to 222.56, 332.14 and 216.80

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Solution

The fourth proportional to 222.56, 332.14 and 216.80 is: 323.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.56 : 332.14 = 216.80 : x
  2. Step 2: Convert to fraction form
    222.56/332.14 = 216.80/x
  3. Step 3: Cross multiply
    222.56x = 332.14 × 216.80
  4. Step 4: Simplify right side
    222.56x = 72,007.95
  5. Step 5: Solve for x
    x = 72,007.95/222.56
  6. Step 6: Final answer
    x = 323.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.