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Finding the Fourth Proportional to 249.41, 374.09 and 66.80

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Solution

The fourth proportional to 249.41, 374.09 and 66.80 is: 100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.41 : 374.09 = 66.80 : x
  2. Step 2: Convert to fraction form
    249.41/374.09 = 66.80/x
  3. Step 3: Cross multiply
    249.41x = 374.09 × 66.80
  4. Step 4: Simplify right side
    249.41x = 24,987.01
  5. Step 5: Solve for x
    x = 24,987.01/249.41
  6. Step 6: Final answer
    x = 100.19

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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.