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Finding the Fourth Proportional to 218.80, 328.65 and 206.95

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Solution

The fourth proportional to 218.80, 328.65 and 206.95 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.80 : 328.65 = 206.95 : x
  2. Step 2: Convert to fraction form
    218.80/328.65 = 206.95/x
  3. Step 3: Cross multiply
    218.80x = 328.65 × 206.95
  4. Step 4: Simplify right side
    218.80x = 68,014.12
  5. Step 5: Solve for x
    x = 68,014.12/218.80
  6. Step 6: Final answer
    x = 310.86

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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.