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Finding the Fourth Proportional to 249.29, 373.78 and 119.33

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Solution

The fourth proportional to 249.29, 373.78 and 119.33 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 373.78 = 119.33 : x
  2. Step 2: Convert to fraction form
    249.29/373.78 = 119.33/x
  3. Step 3: Cross multiply
    249.29x = 373.78 × 119.33
  4. Step 4: Simplify right side
    249.29x = 44,601.93
  5. Step 5: Solve for x
    x = 44,601.93/249.29
  6. Step 6: Final answer
    x = 178.92

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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.