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Finding the Fourth Proportional to 231.18, 346.56 and 200.80

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Solution

The fourth proportional to 231.18, 346.56 and 200.80 is: 301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.18 : 346.56 = 200.80 : x
  2. Step 2: Convert to fraction form
    231.18/346.56 = 200.80/x
  3. Step 3: Cross multiply
    231.18x = 346.56 × 200.80
  4. Step 4: Simplify right side
    231.18x = 69,589.25
  5. Step 5: Solve for x
    x = 69,589.25/231.18
  6. Step 6: Final answer
    x = 301.02

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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.