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Finding the Fourth Proportional to 249.71, 374.57 and 105.33

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Solution

The fourth proportional to 249.71, 374.57 and 105.33 is: 157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.71 : 374.57 = 105.33 : x
  2. Step 2: Convert to fraction form
    249.71/374.57 = 105.33/x
  3. Step 3: Cross multiply
    249.71x = 374.57 × 105.33
  4. Step 4: Simplify right side
    249.71x = 39,452.93
  5. Step 5: Solve for x
    x = 39,452.93/249.71
  6. Step 6: Final answer
    x = 157.99

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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.