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Finding the Fourth Proportional to 218.67, 327.96 and 64.56

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Solution

The fourth proportional to 218.67, 327.96 and 64.56 is: 96.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.67 : 327.96 = 64.56 : x
  2. Step 2: Convert to fraction form
    218.67/327.96 = 64.56/x
  3. Step 3: Cross multiply
    218.67x = 327.96 × 64.56
  4. Step 4: Simplify right side
    218.67x = 21,172.36
  5. Step 5: Solve for x
    x = 21,172.36/218.67
  6. Step 6: Final answer
    x = 96.82

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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.