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Finding the Fourth Proportional to 246.96, 368.16 and 219.60

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Solution

The fourth proportional to 246.96, 368.16 and 219.60 is: 327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.96 : 368.16 = 219.60 : x
  2. Step 2: Convert to fraction form
    246.96/368.16 = 219.60/x
  3. Step 3: Cross multiply
    246.96x = 368.16 × 219.60
  4. Step 4: Simplify right side
    246.96x = 80,847.94
  5. Step 5: Solve for x
    x = 80,847.94/246.96
  6. Step 6: Final answer
    x = 327.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.