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Finding the Fourth Proportional to 249.76, 374.64 and 206.92

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Solution

The fourth proportional to 249.76, 374.64 and 206.92 is: 310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.76 : 374.64 = 206.92 : x
  2. Step 2: Convert to fraction form
    249.76/374.64 = 206.92/x
  3. Step 3: Cross multiply
    249.76x = 374.64 × 206.92
  4. Step 4: Simplify right side
    249.76x = 77,520.51
  5. Step 5: Solve for x
    x = 77,520.51/249.76
  6. Step 6: Final answer
    x = 310.38

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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.