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Finding the Fourth Proportional to 231.72, 319.80 and 217.12

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Solution

The fourth proportional to 231.72, 319.80 and 217.12 is: 299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.72 : 319.80 = 217.12 : x
  2. Step 2: Convert to fraction form
    231.72/319.80 = 217.12/x
  3. Step 3: Cross multiply
    231.72x = 319.80 × 217.12
  4. Step 4: Simplify right side
    231.72x = 69,434.98
  5. Step 5: Solve for x
    x = 69,434.98/231.72
  6. Step 6: Final answer
    x = 299.65

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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.