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Finding the Fourth Proportional to 250.56, 344.96 and 172.80

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Solution

The fourth proportional to 250.56, 344.96 and 172.80 is: 237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.56 : 344.96 = 172.80 : x
  2. Step 2: Convert to fraction form
    250.56/344.96 = 172.80/x
  3. Step 3: Cross multiply
    250.56x = 344.96 × 172.80
  4. Step 4: Simplify right side
    250.56x = 59,609.09
  5. Step 5: Solve for x
    x = 59,609.09/250.56
  6. Step 6: Final answer
    x = 237.90

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