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Finding the Fourth Proportional to 230.22, 343.64 and 214.22

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Solution

The fourth proportional to 230.22, 343.64 and 214.22 is: 319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.22 : 343.64 = 214.22 : x
  2. Step 2: Convert to fraction form
    230.22/343.64 = 214.22/x
  3. Step 3: Cross multiply
    230.22x = 343.64 × 214.22
  4. Step 4: Simplify right side
    230.22x = 73,615.96
  5. Step 5: Solve for x
    x = 73,615.96/230.22
  6. Step 6: Final answer
    x = 319.76

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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.