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Finding the Fourth Proportional to 240.82, 360.32 and 159.73

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Solution

The fourth proportional to 240.82, 360.32 and 159.73 is: 238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.82 : 360.32 = 159.73 : x
  2. Step 2: Convert to fraction form
    240.82/360.32 = 159.73/x
  3. Step 3: Cross multiply
    240.82x = 360.32 × 159.73
  4. Step 4: Simplify right side
    240.82x = 57,552.21
  5. Step 5: Solve for x
    x = 57,552.21/240.82
  6. Step 6: Final answer
    x = 238.99

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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.