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Finding the Fourth Proportional to 246.62, 340.40 and 159.29

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Solution

The fourth proportional to 246.62, 340.40 and 159.29 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.62 : 340.40 = 159.29 : x
  2. Step 2: Convert to fraction form
    246.62/340.40 = 159.29/x
  3. Step 3: Cross multiply
    246.62x = 340.40 × 159.29
  4. Step 4: Simplify right side
    246.62x = 54,219.82
  5. Step 5: Solve for x
    x = 54,219.82/246.62
  6. Step 6: Final answer
    x = 219.86

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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.