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Finding the Fourth Proportional to 249.50, 374.31 and 176.33

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Solution

The fourth proportional to 249.50, 374.31 and 176.33 is: 264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 374.31 = 176.33 : x
  2. Step 2: Convert to fraction form
    249.50/374.31 = 176.33/x
  3. Step 3: Cross multiply
    249.50x = 374.31 × 176.33
  4. Step 4: Simplify right side
    249.50x = 66,002.08
  5. Step 5: Solve for x
    x = 66,002.08/249.50
  6. Step 6: Final answer
    x = 264.54

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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.