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Finding the Fourth Proportional to 212.22, 316.30 and 208.18

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Solution

The fourth proportional to 212.22, 316.30 and 208.18 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.22 : 316.30 = 208.18 : x
  2. Step 2: Convert to fraction form
    212.22/316.30 = 208.18/x
  3. Step 3: Cross multiply
    212.22x = 316.30 × 208.18
  4. Step 4: Simplify right side
    212.22x = 65,847.33
  5. Step 5: Solve for x
    x = 65,847.33/212.22
  6. Step 6: Final answer
    x = 310.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.