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Finding the Fourth Proportional to 249.57, 374.22 and 105.30

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Solution

The fourth proportional to 249.57, 374.22 and 105.30 is: 157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.57 : 374.22 = 105.30 : x
  2. Step 2: Convert to fraction form
    249.57/374.22 = 105.30/x
  3. Step 3: Cross multiply
    249.57x = 374.22 × 105.30
  4. Step 4: Simplify right side
    249.57x = 39,405.37
  5. Step 5: Solve for x
    x = 39,405.37/249.57
  6. Step 6: Final answer
    x = 157.89

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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.