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Finding the Fourth Proportional to 249.84, 374.74 and 105.56

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Solution

The fourth proportional to 249.84, 374.74 and 105.56 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 374.74 = 105.56 : x
  2. Step 2: Convert to fraction form
    249.84/374.74 = 105.56/x
  3. Step 3: Cross multiply
    249.84x = 374.74 × 105.56
  4. Step 4: Simplify right side
    249.84x = 39,557.55
  5. Step 5: Solve for x
    x = 39,557.55/249.84
  6. Step 6: Final answer
    x = 158.33

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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.