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Finding the Fourth Proportional to 246.54, 340.54 and 221.96

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Solution

The fourth proportional to 246.54, 340.54 and 221.96 is: 306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.54 : 340.54 = 221.96 : x
  2. Step 2: Convert to fraction form
    246.54/340.54 = 221.96/x
  3. Step 3: Cross multiply
    246.54x = 340.54 × 221.96
  4. Step 4: Simplify right side
    246.54x = 75,586.26
  5. Step 5: Solve for x
    x = 75,586.26/246.54
  6. Step 6: Final answer
    x = 306.59

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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.