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Finding the Fourth Proportional to 219.41, 328.85 and 103.78

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Solution

The fourth proportional to 219.41, 328.85 and 103.78 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.41 : 328.85 = 103.78 : x
  2. Step 2: Convert to fraction form
    219.41/328.85 = 103.78/x
  3. Step 3: Cross multiply
    219.41x = 328.85 × 103.78
  4. Step 4: Simplify right side
    219.41x = 34,128.05
  5. Step 5: Solve for x
    x = 34,128.05/219.41
  6. Step 6: Final answer
    x = 155.54

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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.