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Finding the Fourth Proportional to 244.37, 366.62 and 82.06

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Solution

The fourth proportional to 244.37, 366.62 and 82.06 is: 123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.37 : 366.62 = 82.06 : x
  2. Step 2: Convert to fraction form
    244.37/366.62 = 82.06/x
  3. Step 3: Cross multiply
    244.37x = 366.62 × 82.06
  4. Step 4: Simplify right side
    244.37x = 30,083.51
  5. Step 5: Solve for x
    x = 30,083.51/244.37
  6. Step 6: Final answer
    x = 123.11

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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.