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Finding the Fourth Proportional to 231.68, 347.58 and 109.85

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Solution

The fourth proportional to 231.68, 347.58 and 109.85 is: 164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.68 : 347.58 = 109.85 : x
  2. Step 2: Convert to fraction form
    231.68/347.58 = 109.85/x
  3. Step 3: Cross multiply
    231.68x = 347.58 × 109.85
  4. Step 4: Simplify right side
    231.68x = 38,179.93
  5. Step 5: Solve for x
    x = 38,179.93/231.68
  6. Step 6: Final answer
    x = 164.80

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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.