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Finding the Fourth Proportional to 371.30, 512.37 and 205.50

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Solution

The fourth proportional to 371.30, 512.37 and 205.50 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.30 : 512.37 = 205.50 : x
  2. Step 2: Convert to fraction form
    371.30/512.37 = 205.50/x
  3. Step 3: Cross multiply
    371.30x = 512.37 × 205.50
  4. Step 4: Simplify right side
    371.30x = 105,292.04
  5. Step 5: Solve for x
    x = 105,292.04/371.30
  6. Step 6: Final answer
    x = 283.58

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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.