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Finding the Fourth Proportional to 221.60, 329.16 and 221.60

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Solution

The fourth proportional to 221.60, 329.16 and 221.60 is: 329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.60 : 329.16 = 221.60 : x
  2. Step 2: Convert to fraction form
    221.60/329.16 = 221.60/x
  3. Step 3: Cross multiply
    221.60x = 329.16 × 221.60
  4. Step 4: Simplify right side
    221.60x = 72,941.86
  5. Step 5: Solve for x
    x = 72,941.86/221.60
  6. Step 6: Final answer
    x = 329.16

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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.