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Finding the Fourth Proportional to 246.24, 369.03 and 159.66

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Solution

The fourth proportional to 246.24, 369.03 and 159.66 is: 239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.24 : 369.03 = 159.66 : x
  2. Step 2: Convert to fraction form
    246.24/369.03 = 159.66/x
  3. Step 3: Cross multiply
    246.24x = 369.03 × 159.66
  4. Step 4: Simplify right side
    246.24x = 58,919.33
  5. Step 5: Solve for x
    x = 58,919.33/246.24
  6. Step 6: Final answer
    x = 239.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.