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Finding the Fourth Proportional to 221.10, 329.84 and 221.10

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Solution

The fourth proportional to 221.10, 329.84 and 221.10 is: 329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.10 : 329.84 = 221.10 : x
  2. Step 2: Convert to fraction form
    221.10/329.84 = 221.10/x
  3. Step 3: Cross multiply
    221.10x = 329.84 × 221.10
  4. Step 4: Simplify right side
    221.10x = 72,926.52
  5. Step 5: Solve for x
    x = 72,926.52/221.10
  6. Step 6: Final answer
    x = 329.84

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