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Finding the Fourth Proportional to 218, 327.16 and 96.20

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Solution

The fourth proportional to 218, 327.16 and 96.20 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218 : 327.16 = 96.20 : x
  2. Step 2: Convert to fraction form
    218/327.16 = 96.20/x
  3. Step 3: Cross multiply
    218x = 327.16 × 96.20
  4. Step 4: Simplify right side
    218x = 31,472.79
  5. Step 5: Solve for x
    x = 31,472.79/218
  6. Step 6: Final answer
    x = 144.37

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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.