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Finding the Fourth Proportional to 219.48, 327.53 and 196.41

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Solution

The fourth proportional to 219.48, 327.53 and 196.41 is: 293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.48 : 327.53 = 196.41 : x
  2. Step 2: Convert to fraction form
    219.48/327.53 = 196.41/x
  3. Step 3: Cross multiply
    219.48x = 327.53 × 196.41
  4. Step 4: Simplify right side
    219.48x = 64,329.19
  5. Step 5: Solve for x
    x = 64,329.19/219.48
  6. Step 6: Final answer
    x = 293.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.