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Finding the Fourth Proportional to 371.85, 513.15 and 206.06

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Solution

The fourth proportional to 371.85, 513.15 and 206.06 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.85 : 513.15 = 206.06 : x
  2. Step 2: Convert to fraction form
    371.85/513.15 = 206.06/x
  3. Step 3: Cross multiply
    371.85x = 513.15 × 206.06
  4. Step 4: Simplify right side
    371.85x = 105,736.35
  5. Step 5: Solve for x
    x = 105,736.35/371.85
  6. Step 6: Final answer
    x = 284.36

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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.