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Finding the Fourth Proportional to 249.45, 372.54 and 208.91

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Solution

The fourth proportional to 249.45, 372.54 and 208.91 is: 311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.45 : 372.54 = 208.91 : x
  2. Step 2: Convert to fraction form
    249.45/372.54 = 208.91/x
  3. Step 3: Cross multiply
    249.45x = 372.54 × 208.91
  4. Step 4: Simplify right side
    249.45x = 77,825.47
  5. Step 5: Solve for x
    x = 77,825.47/249.45
  6. Step 6: Final answer
    x = 311.99

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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.