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Finding the Fourth Proportional to 219.55, 329.07 and 115.14

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Solution

The fourth proportional to 219.55, 329.07 and 115.14 is: 172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.55 : 329.07 = 115.14 : x
  2. Step 2: Convert to fraction form
    219.55/329.07 = 115.14/x
  3. Step 3: Cross multiply
    219.55x = 329.07 × 115.14
  4. Step 4: Simplify right side
    219.55x = 37,889.12
  5. Step 5: Solve for x
    x = 37,889.12/219.55
  6. Step 6: Final answer
    x = 172.58

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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.