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Finding the Fourth Proportional to 244.43, 366.65 and 82.13

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Solution

The fourth proportional to 244.43, 366.65 and 82.13 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.43 : 366.65 = 82.13 : x
  2. Step 2: Convert to fraction form
    244.43/366.65 = 82.13/x
  3. Step 3: Cross multiply
    244.43x = 366.65 × 82.13
  4. Step 4: Simplify right side
    244.43x = 30,111.03
  5. Step 5: Solve for x
    x = 30,111.03/244.43
  6. Step 6: Final answer
    x = 123.19

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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.