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Finding the Fourth Proportional to 244.05, 366.17 and 97.82

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Solution

The fourth proportional to 244.05, 366.17 and 97.82 is: 146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.05 : 366.17 = 97.82 : x
  2. Step 2: Convert to fraction form
    244.05/366.17 = 97.82/x
  3. Step 3: Cross multiply
    244.05x = 366.17 × 97.82
  4. Step 4: Simplify right side
    244.05x = 35,816.43
  5. Step 5: Solve for x
    x = 35,816.43/244.05
  6. Step 6: Final answer
    x = 146.76

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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.