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Finding the Fourth Proportional to 250.08, 344.01 and 205.26

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Solution

The fourth proportional to 250.08, 344.01 and 205.26 is: 282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.08 : 344.01 = 205.26 : x
  2. Step 2: Convert to fraction form
    250.08/344.01 = 205.26/x
  3. Step 3: Cross multiply
    250.08x = 344.01 × 205.26
  4. Step 4: Simplify right side
    250.08x = 70,611.49
  5. Step 5: Solve for x
    x = 70,611.49/250.08
  6. Step 6: Final answer
    x = 282.36

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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.