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Finding the Fourth Proportional to 371.02, 511.96 and 205.21

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Solution

The fourth proportional to 371.02, 511.96 and 205.21 is: 283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.02 : 511.96 = 205.21 : x
  2. Step 2: Convert to fraction form
    371.02/511.96 = 205.21/x
  3. Step 3: Cross multiply
    371.02x = 511.96 × 205.21
  4. Step 4: Simplify right side
    371.02x = 105,059.31
  5. Step 5: Solve for x
    x = 105,059.31/371.02
  6. Step 6: Final answer
    x = 283.16

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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.