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Finding the Fourth Proportional to 219.73, 330.85 and 194.21

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Solution

The fourth proportional to 219.73, 330.85 and 194.21 is: 292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.73 : 330.85 = 194.21 : x
  2. Step 2: Convert to fraction form
    219.73/330.85 = 194.21/x
  3. Step 3: Cross multiply
    219.73x = 330.85 × 194.21
  4. Step 4: Simplify right side
    219.73x = 64,254.38
  5. Step 5: Solve for x
    x = 64,254.38/219.73
  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.