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Finding the Fourth Proportional to 219.53, 329.00 and 111.20

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Solution

The fourth proportional to 219.53, 329.00 and 111.20 is: 166.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.53 : 329.00 = 111.20 : x
  2. Step 2: Convert to fraction form
    219.53/329.00 = 111.20/x
  3. Step 3: Cross multiply
    219.53x = 329.00 × 111.20
  4. Step 4: Simplify right side
    219.53x = 36,582.60
  5. Step 5: Solve for x
    x = 36,582.60/219.53
  6. Step 6: Final answer
    x = 166.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.