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Finding the Fourth Proportional to 244.68, 365.28 and 208.24

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Solution

The fourth proportional to 244.68, 365.28 and 208.24 is: 310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.68 : 365.28 = 208.24 : x
  2. Step 2: Convert to fraction form
    244.68/365.28 = 208.24/x
  3. Step 3: Cross multiply
    244.68x = 365.28 × 208.24
  4. Step 4: Simplify right side
    244.68x = 76,065.91
  5. Step 5: Solve for x
    x = 76,065.91/244.68
  6. Step 6: Final answer
    x = 310.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.