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Finding the Fourth Proportional to 231.43, 346.83 and 180.13

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Solution

The fourth proportional to 231.43, 346.83 and 180.13 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.43 : 346.83 = 180.13 : x
  2. Step 2: Convert to fraction form
    231.43/346.83 = 180.13/x
  3. Step 3: Cross multiply
    231.43x = 346.83 × 180.13
  4. Step 4: Simplify right side
    231.43x = 62,474.49
  5. Step 5: Solve for x
    x = 62,474.49/231.43
  6. Step 6: Final answer
    x = 269.95

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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.