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Finding the Fourth Proportional to 229.42, 316.11 and 196.66

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Solution

The fourth proportional to 229.42, 316.11 and 196.66 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.42 : 316.11 = 196.66 : x
  2. Step 2: Convert to fraction form
    229.42/316.11 = 196.66/x
  3. Step 3: Cross multiply
    229.42x = 316.11 × 196.66
  4. Step 4: Simplify right side
    229.42x = 62,166.19
  5. Step 5: Solve for x
    x = 62,166.19/229.42
  6. Step 6: Final answer
    x = 270.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.