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Finding the Fourth Proportional to 253.99, 380.91 and 123.91

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Solution

The fourth proportional to 253.99, 380.91 and 123.91 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.99 : 380.91 = 123.91 : x
  2. Step 2: Convert to fraction form
    253.99/380.91 = 123.91/x
  3. Step 3: Cross multiply
    253.99x = 380.91 × 123.91
  4. Step 4: Simplify right side
    253.99x = 47,198.56
  5. Step 5: Solve for x
    x = 47,198.56/253.99
  6. Step 6: Final answer
    x = 185.83

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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.