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Finding the Fourth Proportional to 249.36, 373.62 and 208.74

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Solution

The fourth proportional to 249.36, 373.62 and 208.74 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.36 : 373.62 = 208.74 : x
  2. Step 2: Convert to fraction form
    249.36/373.62 = 208.74/x
  3. Step 3: Cross multiply
    249.36x = 373.62 × 208.74
  4. Step 4: Simplify right side
    249.36x = 77,989.44
  5. Step 5: Solve for x
    x = 77,989.44/249.36
  6. Step 6: Final answer
    x = 312.76

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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.