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Finding the Fourth Proportional to 221.90, 330.69 and 217.58

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Solution

The fourth proportional to 221.90, 330.69 and 217.58 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.90 : 330.69 = 217.58 : x
  2. Step 2: Convert to fraction form
    221.90/330.69 = 217.58/x
  3. Step 3: Cross multiply
    221.90x = 330.69 × 217.58
  4. Step 4: Simplify right side
    221.90x = 71,950.44
  5. Step 5: Solve for x
    x = 71,950.44/221.90
  6. Step 6: Final answer
    x = 324.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.