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Finding the Fourth Proportional to 249.95, 374.27 and 213.29

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Solution

The fourth proportional to 249.95, 374.27 and 213.29 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.95 : 374.27 = 213.29 : x
  2. Step 2: Convert to fraction form
    249.95/374.27 = 213.29/x
  3. Step 3: Cross multiply
    249.95x = 374.27 × 213.29
  4. Step 4: Simplify right side
    249.95x = 79,825.11
  5. Step 5: Solve for x
    x = 79,825.11/249.95
  6. Step 6: Final answer
    x = 319.37

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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.