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Finding the Fourth Proportional to 250.41, 344.73 and 184.80

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Solution

The fourth proportional to 250.41, 344.73 and 184.80 is: 254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.41 : 344.73 = 184.80 : x
  2. Step 2: Convert to fraction form
    250.41/344.73 = 184.80/x
  3. Step 3: Cross multiply
    250.41x = 344.73 × 184.80
  4. Step 4: Simplify right side
    250.41x = 63,706.10
  5. Step 5: Solve for x
    x = 63,706.10/250.41
  6. Step 6: Final answer
    x = 254.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.