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Finding the Fourth Proportional to 231, 346.23 and 149.73

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Solution

The fourth proportional to 231, 346.23 and 149.73 is: 224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 346.23 = 149.73 : x
  2. Step 2: Convert to fraction form
    231/346.23 = 149.73/x
  3. Step 3: Cross multiply
    231x = 346.23 × 149.73
  4. Step 4: Simplify right side
    231x = 51,841.02
  5. Step 5: Solve for x
    x = 51,841.02/231
  6. Step 6: Final answer
    x = 224.42

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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.