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Finding the Fourth Proportional to 244.82, 367.31 and 123.16

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Solution

The fourth proportional to 244.82, 367.31 and 123.16 is: 184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.82 : 367.31 = 123.16 : x
  2. Step 2: Convert to fraction form
    244.82/367.31 = 123.16/x
  3. Step 3: Cross multiply
    244.82x = 367.31 × 123.16
  4. Step 4: Simplify right side
    244.82x = 45,236.37
  5. Step 5: Solve for x
    x = 45,236.37/244.82
  6. Step 6: Final answer
    x = 184.77

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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.