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Finding the Fourth Proportional to 229.82, 343.03 and 211.52

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Solution

The fourth proportional to 229.82, 343.03 and 211.52 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.82 : 343.03 = 211.52 : x
  2. Step 2: Convert to fraction form
    229.82/343.03 = 211.52/x
  3. Step 3: Cross multiply
    229.82x = 343.03 × 211.52
  4. Step 4: Simplify right side
    229.82x = 72,555.99
  5. Step 5: Solve for x
    x = 72,555.99/229.82
  6. Step 6: Final answer
    x = 315.71

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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.