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Finding the Fourth Proportional to 219.81, 328.19 and 197.94

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Solution

The fourth proportional to 219.81, 328.19 and 197.94 is: 295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.81 : 328.19 = 197.94 : x
  2. Step 2: Convert to fraction form
    219.81/328.19 = 197.94/x
  3. Step 3: Cross multiply
    219.81x = 328.19 × 197.94
  4. Step 4: Simplify right side
    219.81x = 64,960.94
  5. Step 5: Solve for x
    x = 64,960.94/219.81
  6. Step 6: Final answer
    x = 295.53

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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.