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Finding the Fourth Proportional to 231.05, 346.56 and 113.78

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Solution

The fourth proportional to 231.05, 346.56 and 113.78 is: 170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.05 : 346.56 = 113.78 : x
  2. Step 2: Convert to fraction form
    231.05/346.56 = 113.78/x
  3. Step 3: Cross multiply
    231.05x = 346.56 × 113.78
  4. Step 4: Simplify right side
    231.05x = 39,431.60
  5. Step 5: Solve for x
    x = 39,431.60/231.05
  6. Step 6: Final answer
    x = 170.66

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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.