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Finding the Fourth Proportional to 246.32, 339.84 and 158.96

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Solution

The fourth proportional to 246.32, 339.84 and 158.96 is: 219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 339.84 = 158.96 : x
  2. Step 2: Convert to fraction form
    246.32/339.84 = 158.96/x
  3. Step 3: Cross multiply
    246.32x = 339.84 × 158.96
  4. Step 4: Simplify right side
    246.32x = 54,020.97
  5. Step 5: Solve for x
    x = 54,020.97/246.32
  6. Step 6: Final answer
    x = 219.31

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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.