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Finding the Fourth Proportional to 231.75, 347.50 and 109.87

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Solution

The fourth proportional to 231.75, 347.50 and 109.87 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.75 : 347.50 = 109.87 : x
  2. Step 2: Convert to fraction form
    231.75/347.50 = 109.87/x
  3. Step 3: Cross multiply
    231.75x = 347.50 × 109.87
  4. Step 4: Simplify right side
    231.75x = 38,179.83
  5. Step 5: Solve for x
    x = 38,179.83/231.75
  6. Step 6: Final answer
    x = 164.75

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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.