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Finding the Fourth Proportional to 222.32, 332.78 and 119.34

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Solution

The fourth proportional to 222.32, 332.78 and 119.34 is: 178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.32 : 332.78 = 119.34 : x
  2. Step 2: Convert to fraction form
    222.32/332.78 = 119.34/x
  3. Step 3: Cross multiply
    222.32x = 332.78 × 119.34
  4. Step 4: Simplify right side
    222.32x = 39,713.37
  5. Step 5: Solve for x
    x = 39,713.37/222.32
  6. Step 6: Final answer
    x = 178.63

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