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Finding the Fourth Proportional to 371.02, 512.02 and 205.22

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Solution

The fourth proportional to 371.02, 512.02 and 205.22 is: 283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.02 : 512.02 = 205.22 : x
  2. Step 2: Convert to fraction form
    371.02/512.02 = 205.22/x
  3. Step 3: Cross multiply
    371.02x = 512.02 × 205.22
  4. Step 4: Simplify right side
    371.02x = 105,076.74
  5. Step 5: Solve for x
    x = 105,076.74/371.02
  6. Step 6: Final answer
    x = 283.21

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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.