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Finding the Fourth Proportional to 222.05, 306.77 and 178.31

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Solution

The fourth proportional to 222.05, 306.77 and 178.31 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.05 : 306.77 = 178.31 : x
  2. Step 2: Convert to fraction form
    222.05/306.77 = 178.31/x
  3. Step 3: Cross multiply
    222.05x = 306.77 × 178.31
  4. Step 4: Simplify right side
    222.05x = 54,697.73
  5. Step 5: Solve for x
    x = 54,697.73/222.05
  6. Step 6: Final answer
    x = 246.34

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Why These Related Problems?

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