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Finding the Fourth Proportional to 231.74, 347.42 and 116.12

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Solution

The fourth proportional to 231.74, 347.42 and 116.12 is: 174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.74 : 347.42 = 116.12 : x
  2. Step 2: Convert to fraction form
    231.74/347.42 = 116.12/x
  3. Step 3: Cross multiply
    231.74x = 347.42 × 116.12
  4. Step 4: Simplify right side
    231.74x = 40,342.41
  5. Step 5: Solve for x
    x = 40,342.41/231.74
  6. Step 6: Final answer
    x = 174.09

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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.