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Finding the Fourth Proportional to 219.75, 330.86 and 194.22

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Solution

The fourth proportional to 219.75, 330.86 and 194.22 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 330.86 = 194.22 : x
  2. Step 2: Convert to fraction form
    219.75/330.86 = 194.22/x
  3. Step 3: Cross multiply
    219.75x = 330.86 × 194.22
  4. Step 4: Simplify right side
    219.75x = 64,258.66
  5. Step 5: Solve for x
    x = 64,258.66/219.75
  6. Step 6: Final answer
    x = 292.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.