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Finding the Fourth Proportional to 244.64, 366.84 and 82.27

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Solution

The fourth proportional to 244.64, 366.84 and 82.27 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.64 : 366.84 = 82.27 : x
  2. Step 2: Convert to fraction form
    244.64/366.84 = 82.27/x
  3. Step 3: Cross multiply
    244.64x = 366.84 × 82.27
  4. Step 4: Simplify right side
    244.64x = 30,179.01
  5. Step 5: Solve for x
    x = 30,179.01/244.64
  6. Step 6: Final answer
    x = 123.36

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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.