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Finding the Fourth Proportional to 214.56, 320.22 and 208.80

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Solution

The fourth proportional to 214.56, 320.22 and 208.80 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.56 : 320.22 = 208.80 : x
  2. Step 2: Convert to fraction form
    214.56/320.22 = 208.80/x
  3. Step 3: Cross multiply
    214.56x = 320.22 × 208.80
  4. Step 4: Simplify right side
    214.56x = 66,861.94
  5. Step 5: Solve for x
    x = 66,861.94/214.56
  6. Step 6: Final answer
    x = 311.62

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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.