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Finding the Fourth Proportional to 211.71, 316.02 and 196.71

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Solution

The fourth proportional to 211.71, 316.02 and 196.71 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 316.02 = 196.71 : x
  2. Step 2: Convert to fraction form
    211.71/316.02 = 196.71/x
  3. Step 3: Cross multiply
    211.71x = 316.02 × 196.71
  4. Step 4: Simplify right side
    211.71x = 62,164.29
  5. Step 5: Solve for x
    x = 62,164.29/211.71
  6. Step 6: Final answer
    x = 293.63

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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.