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Finding the Fourth Proportional to 222.38, 306.74 and 178.82

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Solution

The fourth proportional to 222.38, 306.74 and 178.82 is: 246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 306.74 = 178.82 : x
  2. Step 2: Convert to fraction form
    222.38/306.74 = 178.82/x
  3. Step 3: Cross multiply
    222.38x = 306.74 × 178.82
  4. Step 4: Simplify right side
    222.38x = 54,848.82
  5. Step 5: Solve for x
    x = 54,848.82/222.38
  6. Step 6: Final answer
    x = 246.65

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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.