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Finding the Fourth Proportional to 371.84, 513.14 and 206.06

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Solution

The fourth proportional to 371.84, 513.14 and 206.06 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.84 : 513.14 = 206.06 : x
  2. Step 2: Convert to fraction form
    371.84/513.14 = 206.06/x
  3. Step 3: Cross multiply
    371.84x = 513.14 × 206.06
  4. Step 4: Simplify right side
    371.84x = 105,736.06
  5. Step 5: Solve for x
    x = 105,736.06/371.84
  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.