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Finding the Fourth Proportional to 221.14, 328.95 and 218.80

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Solution

The fourth proportional to 221.14, 328.95 and 218.80 is: 325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 328.95 = 218.80 : x
  2. Step 2: Convert to fraction form
    221.14/328.95 = 218.80/x
  3. Step 3: Cross multiply
    221.14x = 328.95 × 218.80
  4. Step 4: Simplify right side
    221.14x = 71,974.26
  5. Step 5: Solve for x
    x = 71,974.26/221.14
  6. Step 6: Final answer
    x = 325.47

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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.