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Finding the Fourth Proportional to 249.43, 374.12 and 66.84

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Solution

The fourth proportional to 249.43, 374.12 and 66.84 is: 100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.43 : 374.12 = 66.84 : x
  2. Step 2: Convert to fraction form
    249.43/374.12 = 66.84/x
  3. Step 3: Cross multiply
    249.43x = 374.12 × 66.84
  4. Step 4: Simplify right side
    249.43x = 25,006.10
  5. Step 5: Solve for x
    x = 25,006.10/249.43
  6. Step 6: Final answer
    x = 100.25

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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.