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Finding the Fourth Proportional to 246.38, 339.78 and 222.08

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Solution

The fourth proportional to 246.38, 339.78 and 222.08 is: 306.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.38 : 339.78 = 222.08 : x
  2. Step 2: Convert to fraction form
    246.38/339.78 = 222.08/x
  3. Step 3: Cross multiply
    246.38x = 339.78 × 222.08
  4. Step 4: Simplify right side
    246.38x = 75,458.34
  5. Step 5: Solve for x
    x = 75,458.34/246.38
  6. Step 6: Final answer
    x = 306.27

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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.