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Finding the Fourth Proportional to 371.08, 512.09 and 203.03

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Solution

The fourth proportional to 371.08, 512.09 and 203.03 is: 280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.08 : 512.09 = 203.03 : x
  2. Step 2: Convert to fraction form
    371.08/512.09 = 203.03/x
  3. Step 3: Cross multiply
    371.08x = 512.09 × 203.03
  4. Step 4: Simplify right side
    371.08x = 103,969.63
  5. Step 5: Solve for x
    x = 103,969.63/371.08
  6. Step 6: Final answer
    x = 280.18

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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.