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Finding the Fourth Proportional to 222.60, 306.82 and 178.44

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Solution

The fourth proportional to 222.60, 306.82 and 178.44 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.60 : 306.82 = 178.44 : x
  2. Step 2: Convert to fraction form
    222.60/306.82 = 178.44/x
  3. Step 3: Cross multiply
    222.60x = 306.82 × 178.44
  4. Step 4: Simplify right side
    222.60x = 54,748.96
  5. Step 5: Solve for x
    x = 54,748.96/222.60
  6. Step 6: Final answer
    x = 245.95

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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.