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Finding the Fourth Proportional to 244.89, 367.49 and 123.17

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Solution

The fourth proportional to 244.89, 367.49 and 123.17 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.89 : 367.49 = 123.17 : x
  2. Step 2: Convert to fraction form
    244.89/367.49 = 123.17/x
  3. Step 3: Cross multiply
    244.89x = 367.49 × 123.17
  4. Step 4: Simplify right side
    244.89x = 45,262.21
  5. Step 5: Solve for x
    x = 45,262.21/244.89
  6. Step 6: Final answer
    x = 184.83

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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.