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Finding the Fourth Proportional to 231.27, 344.90 and 197.25

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Solution

The fourth proportional to 231.27, 344.90 and 197.25 is: 294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.27 : 344.90 = 197.25 : x
  2. Step 2: Convert to fraction form
    231.27/344.90 = 197.25/x
  3. Step 3: Cross multiply
    231.27x = 344.90 × 197.25
  4. Step 4: Simplify right side
    231.27x = 68,031.28
  5. Step 5: Solve for x
    x = 68,031.28/231.27
  6. Step 6: Final answer
    x = 294.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.