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Finding the Fourth Proportional to 249.83, 374.43 and 218.90

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Solution

The fourth proportional to 249.83, 374.43 and 218.90 is: 328.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.83 : 374.43 = 218.90 : x
  2. Step 2: Convert to fraction form
    249.83/374.43 = 218.90/x
  3. Step 3: Cross multiply
    249.83x = 374.43 × 218.90
  4. Step 4: Simplify right side
    249.83x = 81,960.85
  5. Step 5: Solve for x
    x = 81,960.85/249.83
  6. Step 6: Final answer
    x = 328.07

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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.