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Finding the Fourth Proportional to 222.92, 334.16 and 78.56

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Solution

The fourth proportional to 222.92, 334.16 and 78.56 is: 117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.92 : 334.16 = 78.56 : x
  2. Step 2: Convert to fraction form
    222.92/334.16 = 78.56/x
  3. Step 3: Cross multiply
    222.92x = 334.16 × 78.56
  4. Step 4: Simplify right side
    222.92x = 26,251.61
  5. Step 5: Solve for x
    x = 26,251.61/222.92
  6. Step 6: Final answer
    x = 117.76

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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.