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Finding the Fourth Proportional to 244.41, 366.62 and 82.10

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Solution

The fourth proportional to 244.41, 366.62 and 82.10 is: 123.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.41 : 366.62 = 82.10 : x
  2. Step 2: Convert to fraction form
    244.41/366.62 = 82.10/x
  3. Step 3: Cross multiply
    244.41x = 366.62 × 82.10
  4. Step 4: Simplify right side
    244.41x = 30,097.87
  5. Step 5: Solve for x
    x = 30,097.87/244.41
  6. Step 6: Final answer
    x = 123.15

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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.