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Finding the Fourth Proportional to 240.92, 360.79 and 217.83

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Solution

The fourth proportional to 240.92, 360.79 and 217.83 is: 326.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.92 : 360.79 = 217.83 : x
  2. Step 2: Convert to fraction form
    240.92/360.79 = 217.83/x
  3. Step 3: Cross multiply
    240.92x = 360.79 × 217.83
  4. Step 4: Simplify right side
    240.92x = 78,590.34
  5. Step 5: Solve for x
    x = 78,590.34/240.92
  6. Step 6: Final answer
    x = 326.22

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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.