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Finding the Fourth Proportional to 244.94, 367.29 and 82.58

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Solution

The fourth proportional to 244.94, 367.29 and 82.58 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.94 : 367.29 = 82.58 : x
  2. Step 2: Convert to fraction form
    244.94/367.29 = 82.58/x
  3. Step 3: Cross multiply
    244.94x = 367.29 × 82.58
  4. Step 4: Simplify right side
    244.94x = 30,328.97
  5. Step 5: Solve for x
    x = 30,328.97/244.94
  6. Step 6: Final answer
    x = 123.82

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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.