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Finding the Fourth Proportional to 371.60, 512.76 and 205.84

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Solution

The fourth proportional to 371.60, 512.76 and 205.84 is: 284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 512.76 = 205.84 : x
  2. Step 2: Convert to fraction form
    371.60/512.76 = 205.84/x
  3. Step 3: Cross multiply
    371.60x = 512.76 × 205.84
  4. Step 4: Simplify right side
    371.60x = 105,546.52
  5. Step 5: Solve for x
    x = 105,546.52/371.60
  6. Step 6: Final answer
    x = 284.03

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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.