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Finding the Fourth Proportional to 244.53, 366.75 and 82.17

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Solution

The fourth proportional to 244.53, 366.75 and 82.17 is: 123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.53 : 366.75 = 82.17 : x
  2. Step 2: Convert to fraction form
    244.53/366.75 = 82.17/x
  3. Step 3: Cross multiply
    244.53x = 366.75 × 82.17
  4. Step 4: Simplify right side
    244.53x = 30,135.85
  5. Step 5: Solve for x
    x = 30,135.85/244.53
  6. Step 6: Final answer
    x = 123.24

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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.