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Finding the Fourth Proportional to 249.10, 373.20 and 191.42

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Solution

The fourth proportional to 249.10, 373.20 and 191.42 is: 286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.10 : 373.20 = 191.42 : x
  2. Step 2: Convert to fraction form
    249.10/373.20 = 191.42/x
  3. Step 3: Cross multiply
    249.10x = 373.20 × 191.42
  4. Step 4: Simplify right side
    249.10x = 71,437.94
  5. Step 5: Solve for x
    x = 71,437.94/249.10
  6. Step 6: Final answer
    x = 286.78

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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.