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Finding the Fourth Proportional to 371.13, 512.14 and 205.33

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Solution

The fourth proportional to 371.13, 512.14 and 205.33 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 512.14 = 205.33 : x
  2. Step 2: Convert to fraction form
    371.13/512.14 = 205.33/x
  3. Step 3: Cross multiply
    371.13x = 512.14 × 205.33
  4. Step 4: Simplify right side
    371.13x = 105,157.71
  5. Step 5: Solve for x
    x = 105,157.71/371.13
  6. Step 6: Final answer
    x = 283.34

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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.