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Finding the Fourth Proportional to 219.04, 327.74 and 136.48

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Solution

The fourth proportional to 219.04, 327.74 and 136.48 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.04 : 327.74 = 136.48 : x
  2. Step 2: Convert to fraction form
    219.04/327.74 = 136.48/x
  3. Step 3: Cross multiply
    219.04x = 327.74 × 136.48
  4. Step 4: Simplify right side
    219.04x = 44,729.96
  5. Step 5: Solve for x
    x = 44,729.96/219.04
  6. Step 6: Final answer
    x = 204.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.