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Finding the Fourth Proportional to 246.88, 340.44 and 159.52

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Solution

The fourth proportional to 246.88, 340.44 and 159.52 is: 219.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.88 : 340.44 = 159.52 : x
  2. Step 2: Convert to fraction form
    246.88/340.44 = 159.52/x
  3. Step 3: Cross multiply
    246.88x = 340.44 × 159.52
  4. Step 4: Simplify right side
    246.88x = 54,306.99
  5. Step 5: Solve for x
    x = 54,306.99/246.88
  6. Step 6: Final answer
    x = 219.97

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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.