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Finding the Fourth Proportional to 371.78, 513.07 and 206.00

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Solution

The fourth proportional to 371.78, 513.07 and 206.00 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 513.07 = 206.00 : x
  2. Step 2: Convert to fraction form
    371.78/513.07 = 206.00/x
  3. Step 3: Cross multiply
    371.78x = 513.07 × 206.00
  4. Step 4: Simplify right side
    371.78x = 105,691.84
  5. Step 5: Solve for x
    x = 105,691.84/371.78
  6. Step 6: Final answer
    x = 284.28

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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.