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Finding the Fourth Proportional to 218.36, 327.63 and 120.76

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Solution

The fourth proportional to 218.36, 327.63 and 120.76 is: 181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.36 : 327.63 = 120.76 : x
  2. Step 2: Convert to fraction form
    218.36/327.63 = 120.76/x
  3. Step 3: Cross multiply
    218.36x = 327.63 × 120.76
  4. Step 4: Simplify right side
    218.36x = 39,564.60
  5. Step 5: Solve for x
    x = 39,564.60/218.36
  6. Step 6: Final answer
    x = 181.19

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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.