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Finding the Fourth Proportional to 220.70, 330.77 and 208.24

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Solution

The fourth proportional to 220.70, 330.77 and 208.24 is: 312.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.70 : 330.77 = 208.24 : x
  2. Step 2: Convert to fraction form
    220.70/330.77 = 208.24/x
  3. Step 3: Cross multiply
    220.70x = 330.77 × 208.24
  4. Step 4: Simplify right side
    220.70x = 68,879.24
  5. Step 5: Solve for x
    x = 68,879.24/220.70
  6. Step 6: Final answer
    x = 312.09

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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.