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Finding the Fourth Proportional to 231.29, 347.12 and 216.94

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Solution

The fourth proportional to 231.29, 347.12 and 216.94 is: 325.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.29 : 347.12 = 216.94 : x
  2. Step 2: Convert to fraction form
    231.29/347.12 = 216.94/x
  3. Step 3: Cross multiply
    231.29x = 347.12 × 216.94
  4. Step 4: Simplify right side
    231.29x = 75,301.39
  5. Step 5: Solve for x
    x = 75,301.39/231.29
  6. Step 6: Final answer
    x = 325.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.