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Finding the Fourth Proportional to 231.86, 347.40 and 200.84

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Solution

The fourth proportional to 231.86, 347.40 and 200.84 is: 300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.86 : 347.40 = 200.84 : x
  2. Step 2: Convert to fraction form
    231.86/347.40 = 200.84/x
  3. Step 3: Cross multiply
    231.86x = 347.40 × 200.84
  4. Step 4: Simplify right side
    231.86x = 69,771.82
  5. Step 5: Solve for x
    x = 69,771.82/231.86
  6. Step 6: Final answer
    x = 300.92

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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.