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Finding the Fourth Proportional to 218.87, 328.28 and 81.90

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Solution

The fourth proportional to 218.87, 328.28 and 81.90 is: 122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.87 : 328.28 = 81.90 : x
  2. Step 2: Convert to fraction form
    218.87/328.28 = 81.90/x
  3. Step 3: Cross multiply
    218.87x = 328.28 × 81.90
  4. Step 4: Simplify right side
    218.87x = 26,885.72
  5. Step 5: Solve for x
    x = 26,885.72/218.87
  6. Step 6: Final answer
    x = 122.84

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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.