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Finding the Fourth Proportional to 244.56, 366.69 and 82.16

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Solution

The fourth proportional to 244.56, 366.69 and 82.16 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.56 : 366.69 = 82.16 : x
  2. Step 2: Convert to fraction form
    244.56/366.69 = 82.16/x
  3. Step 3: Cross multiply
    244.56x = 366.69 × 82.16
  4. Step 4: Simplify right side
    244.56x = 30,127.25
  5. Step 5: Solve for x
    x = 30,127.25/244.56
  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.