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Finding the Fourth Proportional to 371.13, 512.16 and 205.35

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Solution

The fourth proportional to 371.13, 512.16 and 205.35 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 512.16 = 205.35 : x
  2. Step 2: Convert to fraction form
    371.13/512.16 = 205.35/x
  3. Step 3: Cross multiply
    371.13x = 512.16 × 205.35
  4. Step 4: Simplify right side
    371.13x = 105,172.06
  5. Step 5: Solve for x
    x = 105,172.06/371.13
  6. Step 6: Final answer
    x = 283.38

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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.