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Finding the Fourth Proportional to 371.60, 512.80 and 205.82

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Solution

The fourth proportional to 371.60, 512.80 and 205.82 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.60 : 512.80 = 205.82 : x
  2. Step 2: Convert to fraction form
    371.60/512.80 = 205.82/x
  3. Step 3: Cross multiply
    371.60x = 512.80 × 205.82
  4. Step 4: Simplify right side
    371.60x = 105,541.90
  5. Step 5: Solve for x
    x = 105,541.90/371.60
  6. Step 6: Final answer
    x = 284.02

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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.